Explore all topics
Start Free Trial
Need Help? Contact us
back arrowfull exam logo
search
ai logoChat with AI
Servicesarrow
Discoverarrow

Topics

Explore all topics
Discover more topics

Deck 5: Polynomials: Factoring

Full screen (f)
exit full mode
Question
Factor.
36m9−18m4−48m236 m ^ { 9 } - 18 m ^ { 4 } - 48 m ^ { 2 }

A) m2(36m7−18m2−48)m ^ { 2 } \left( 36 m ^ { 7 } - 18 m ^ { 2 } - 48 \right)
B) No common factor
C) 6(6m9−3m4−8m2)6 \left( 6 m ^ { 9 } - 3 m ^ { 4 } - 8 m ^ { 2 } \right)
D) 6m2(6m7−3m2−8)6 m ^ { 2 } \left( 6 m ^ { 7 } - 3 m ^ { 2 } - 8 \right)
Use Space or
up arrow
down arrow
to flip the card.
Question
Factor by grouping.
x3−7x2−8x+56x ^ { 3 } - 7 x ^ { 2 } - 8 x + 56

A) (x+7)(x2+8)( x + 7 ) \left( x ^ { 2 } + 8 \right)
В) (x−7)(x2−8)( x - 7 ) \left( x ^ { 2 } - 8 \right)
C) (x+7)(x3−8)( x + 7 ) \left( x ^ { 3 } - 8 \right)
D) (x−7)(x2+8x)( x - 7 ) \left( x ^ { 2 } + 8 x \right)
Question
Factor.
5 m(2−m)+4n(2−m)5 \mathrm {~m} ( 2 - \mathrm { m } ) + 4 \mathrm { n } ( 2 - \mathrm { m } )

A) No common factor
B) m(5+4n)(2−1)m ( 5 + 4 n ) ( 2 - 1 )
C) (5m+4n)(2−m)( 5 m + 4 n ) ( 2 - m )
D) (5m−4n)(2−m)( 5 m - 4 n ) ( 2 - m )
Question
Factor by grouping.
x3−2x2+4x−8x ^ { 3 } - 2 x ^ { 2 } + 4 x - 8

A) (x−2)(x2+2)( x - 2 ) \left( x ^ { 2 } + 2 \right)
B) (x−2)(x2+4)( x - 2 ) \left( x ^ { 2 } + 4 \right)
C) (x−8)(x2−2x+4)( x - 8 ) \left( x ^ { 2 } - 2 x + 4 \right)
D) (x+2)(x2+4)( x + 2 ) \left( x ^ { 2 } + 4 \right)
Question
Factor.
3x2y6+6x2y53 x ^ { 2 } y ^ { 6 } + 6 x ^ { 2 } y ^ { 5 }

A) 3x2y5(y+2)3 x ^ { 2 } y ^ { 5 } ( y + 2 )
B) 3x5y2(y+2)3 x ^ { 5 } y ^ { 2 } ( y + 2 )
C) y+2y + 2
D) x2y5(3y+2)x ^ { 2 } y ^ { 5 } ( 3 y + 2 )
Question
Factor.
t(2−m)+s(2−m)\mathrm { t } ( 2 - \mathrm { m } ) + \mathrm { s } ( 2 - \mathrm { m } )

A) No common factor
B) (t−s)(2−m)( t - s ) ( 2 - m )
C) t(2−m)+s\mathrm { t } ( 2 - \mathrm { m } ) + \mathrm { s }
D) (t+s)(2−m)( t + s ) ( 2 - m )
Question
Factor.
4x(3x−2)−3(3x−2)4 x ( 3 x - 2 ) - 3 ( 3 x - 2 )

A) (12x−3)(x−2)( 12 x - 3 ) ( x - 2 )
B) (4x−3)(3x−2)( 4 x - 3 ) ( 3 x - 2 )
C) (4x+3)(3x+2)( 4 x + 3 ) ( 3 x + 2 )
D) (12x+3)(x+2)( 12 x + 3 ) ( x + 2 )
Question
Find the GCF.
x5y5,x4y3,x4y4,−xyx ^ { 5 } y ^ { 5 } , x ^ { 4 } y ^ { 3 } , x ^ { 4 } y ^ { 4 } , - x y

A) −xy- x y
B) xyx y
C) x3y3x ^ { 3 } y ^ { 3 }
D) x4y3x ^ { 4 } y ^ { 3 }
Question
Factor by grouping.
x3+5x2+8x+40x ^ { 3 } + 5 x ^ { 2 } + 8 x + 40

A) (x+5)(x2+8)( x + 5 ) \left( x ^ { 2 } + 8 \right)
B) (x+5)(x2−8)( x + 5 ) \left( x ^ { 2 } - 8 \right)
C) (x+5x)(x2+8)( x + 5 x ) \left( x ^ { 2 } + 8 \right)
D) (x−5)(x3+8)( x - 5 ) \left( x ^ { 3 } + 8 \right)
Question
Factor.
x6−17xy5+37x3y6−47x6y5x ^ { 6 } - 17 x y ^ { 5 } + 37 x ^ { 3 } y ^ { 6 } - 47 x ^ { 6 } y ^ { 5 }

A) x(x5−17y5+37x2y6−47x5y5)x \left( x ^ { 5 } - 17 y ^ { 5 } + 37 x ^ { 2 } y ^ { 6 } - 47 x ^ { 5 } y ^ { 5 } \right)
B) xy5(x5−17+37x2y1−47x5)x y ^ { 5 } \left( x ^ { 5 } - 17 + 37 x ^ { 2 } y ^ { 1 } - 47 x ^ { 5 } \right)
C) x2(x5−17y4+37x2y5−47x5y4)x ^ { 2 } \left( x ^ { 5 } - 17 y ^ { 4 } + 37 x ^ { 2 } y ^ { 5 } - 47 x ^ { 5 } y ^ { 4 } \right)
D) xy(x5−17y4+37x2y5−47x5y4)x y \left( x ^ { 5 } - 17 y ^ { 4 } + 37 x ^ { 2 } y ^ { 5 } - 47 x ^ { 5 } y ^ { 4 } \right)
Question
Factor.
40x8y9+64x6y5+80x4y240 x ^ { 8 } y ^ { 9 } + 64 x ^ { 6 } y ^ { 5 } + 80 x ^ { 4 } y ^ { 2 }

A) No common factor
B) 8(5x8y9+8x6y5+10x4y2)8 \left( 5 x ^ { 8 } y ^ { 9 } + 8 x ^ { 6 } y ^ { 5 } + 10 x ^ { 4 } y ^ { 2 } \right)
C) 8x4(5x4y9+8x2y5+10y2)8 x ^ { 4 } \left( 5 x ^ { 4 } y ^ { 9 } + 8 x ^ { 2 } y ^ { 5 } + 10 y ^ { 2 } \right)
D) 8x4y2(5x4y7+8x2y3+10)8 x ^ { 4 } y ^ { 2 } \left( 5 x ^ { 4 } y ^ { 7 } + 8 x ^ { 2 } y ^ { 3 } + 10 \right)
Question
Factor.
53x7−43x6+83x5+13x4\frac { 5 } { 3 } x ^ { 7 } - \frac { 4 } { 3 } x ^ { 6 } + \frac { 8 } { 3 } x ^ { 5 } + \frac { 1 } { 3 } x ^ { 4 }

A) 13x5(5x4−4x3+8x2+x)\frac { 1 } { 3 } x ^ { 5 } \left( 5 x ^ { 4 } - 4 x ^ { 3 } + 8 x ^ { 2 } + x \right)
B) 13x5(5x3+4x2−8x−1)\frac { 1 } { 3 } x ^ { 5 } \left( 5 x ^ { 3 } + 4 x ^ { 2 } - 8 x - 1 \right)
C) 53x4(x3−3x2+7x+1)\frac { 5 } { 3 } x ^ { 4 } \left( x ^ { 3 } - 3 x ^ { 2 } + 7 x + 1 \right)
D) 13x4(5x3−4x2+8x+1)\frac { 1 } { 3 } x ^ { 4 } \left( 5 x ^ { 3 } - 4 x ^ { 2 } + 8 x + 1 \right)
Question
Find the GCF.
−x2,−2x,−4x5- x ^ { 2 } , - 2 x , - 4 x ^ { 5 }

A) −x2- x ^ { 2 }
B) −2x- 2 x
C) −x- x
D) −2x2- 2 x ^ { 2 }
Question
Factor.
25m2−13r325 m ^ { 2 } - 13 r ^ { 3 }

A) 3(8m2−4r3)3 \left( 8 m ^ { 2 } - 4 r ^ { 3 } \right)
B) m2(25−13 m)\mathrm { m } ^ { 2 } ( 25 - 13 \mathrm {~m} )
C) No common factor
D) 2(12m2+6r3)2 \left( 12 m ^ { 2 } + 6 r ^ { 3 } \right)
Question
Factor by grouping.
2x3−6x2−6x+182 x ^ { 3 } - 6 x ^ { 2 } - 6 x + 18

A) Not possible
B) (x−3)(2x2−6)( x - 3 ) \left( 2 x ^ { 2 } - 6 \right)
C) (x+18)(x2−6x−6)( x + 18 ) \left( x ^ { 2 } - 6 x - 6 \right)
D) (x+3)(2x2−6)( x + 3 ) \left( 2 x ^ { 2 } - 6 \right)
Question
Find the GCF.
6x4,−12x6 x ^ { 4 } , - 12 x

A) 6x46 x ^ { 4 }
B) −12x4- 12 x ^ { 4 }
C) 6x6 x
D) 4x4 \mathrm { x }
Question
Factor.
5x2+15x5 \mathrm { x } ^ { 2 } + 15 \mathrm { x }

A) 5x(x+15)5 x ( x + 15 )
B) 5x(x+3)5 x ( x + 3 )
C) 5x2(x+3)5 x ^ { 2 } ( x + 3 )
D) x(5x+15)x ( 5 x + 15 )
Question
Factor.
9m8−21m6−27m49 m ^ { 8 } - 21 m ^ { 6 } - 27 m ^ { 4 }

A) 3m4(3m4−7m2−9)3 m ^ { 4 } \left( 3 m ^ { 4 } - 7 m ^ { 2 } - 9 \right)
B) No common factor
C) m4(9m4−21m2−27)m ^ { 4 } \left( 9 m ^ { 4 } - 21 m ^ { 2 } - 27 \right)
D) 3(3m8−7m6−9m4)3 \left( 3 m ^ { 8 } - 7 m ^ { 6 } - 9 m ^ { 4 } \right)
Question
Factor by grouping.
x3+2x2−10x−20x ^ { 3 } + 2 x ^ { 2 } - 10 x - 20

A) (x2+2)(x−10)\left( x ^ { 2 } + 2 \right) ( x - 10 )
B) (x+2)(x2−10)( x + 2 ) \left( x ^ { 2 } - 10 \right)
C) (x+2)(x3−10x)( x + 2 ) \left( x ^ { 3 } - 10 x \right)
D) (x−2)(x2−10)( x - 2 ) \left( x ^ { 2 } - 10 \right)
Question
Factor.
10y−3010 y - 30

A) No common factor
B) 30
C) 10y10 y
D) 10(y−3)10 ( y - 3 )
Question
Factor.
5x9−40x8−60x75 x ^ { 9 } - 40 x ^ { 8 } - 60 x ^ { 7 }

A) 5x7(x2−6x−12)5 x ^ { 7 } \left( x ^ { 2 } - 6 x - 12 \right)
B) 5x7(x−6)(x−2)5 x ^ { 7 } ( x - 6 ) ( x - 2 )
C) 5x7(x−6)(x+2)5 x ^ { 7 } ( x - 6 ) ( x + 2 )
D) 5x6(x2−6x−12)5 x ^ { 6 } \left( x ^ { 2 } - 6 x - 12 \right)
Question
Factor.
2x2−14x+202 x ^ { 2 } - 14 x + 20

A) 2(x−10)(x+1)2 ( x - 10 ) ( x + 1 )
B) Prime
C) 2(x−2)(x−5)2 ( x - 2 ) ( x - 5 )
D) (2x−4)(x−5)( 2 x - 4 ) ( x - 5 )
Question
Factor.
9x2−9x−549 x ^ { 2 } - 9 x - 54

A) (9x+18)(x−3)( 9 x + 18 ) ( x - 3 )
B) 9(x−2)(x+3)9 ( x - 2 ) ( x + 3 )
C) 9(x+2)(x−3)9 ( x + 2 ) ( x - 3 )
D) Prime
Question
Factor.
x2−x−30x ^ { 2 } - x - 30

A) (x+1)(x−30)( x + 1 ) ( x - 30 )
B) (x+5)(x−6)( x + 5 ) ( x - 6 )
C) (x+6)(x−5)( x + 6 ) ( x - 5 )
D) Prime
Question
Factor.
24−2x−x224 - 2 x - x ^ { 2 }

A) (−x−6)(x−4)( - x - 6 ) ( x - 4 )
B) (x−6)(x−4)( x - 6 ) ( x - 4 )
C) (−x−4)(x−6)( - x - 4 ) ( x - 6 )
D) (x+6)(x−4)( x + 6 ) ( x - 4 )
Question
Factor.
u2−2uv−15v2u ^ { 2 } - 2 u v - 15 v ^ { 2 }

A) (u+3v)(u−5v)( u + 3 v ) ( u - 5 v )
B) (u−3v)(u+v)( u - 3 v ) ( u + v )
C) (u−3v)(u+5v)( u - 3 v ) ( u + 5 v )
D) (u−v)(u+5v)( u - v ) ( u + 5 v )
Question
Factor.
x2+7xy−120y2x ^ { 2 } + 7 x y - 120 y ^ { 2 }

A) (x+15y)(x−8y)( x + 15 y ) ( x - 8 y )
B) (x−y)(x+8y)( x - y ) ( x + 8 y )
C) (x−15y)(x+y)( x - 15 y ) ( x + y )
D) (x−15y)(x+8y)( x - 15 y ) ( x + 8 y )
Question
Factor.
x2−6x−72x ^ { 2 } - 6 x - 72

A) (x−6)(x+1)( x - 6 ) ( x + 1 )
B) Prime
C) (x−6)(x+12)( x - 6 ) ( x + 12 )
D) (x+6)(x−12)( x + 6 ) ( x - 12 )
Question
Factor.
x2+4x−96x ^ { 2 } + 4 x - 96

A) (x−12)(x+1)( x - 12 ) ( x + 1 )
B) (x−12)(x+8)( x - 12 ) ( x + 8 )
C) Prime
D) (x+12)(x−8)( x + 12 ) ( x - 8 )
Question
Factor.
p4−11p2+24p ^ { 4 } - 11 p ^ { 2 } + 24

A) p2(p−8)(p−3)p ^ { 2 } ( p - 8 ) ( p - 3 )
B) (p2−24)(p2−1)\left( p ^ { 2 } - 24 \right) \left( p ^ { 2 } - 1 \right)
C) (p2−8)(p2−3)\left( p ^ { 2 } - 8 \right) \left( p ^ { 2 } - 3 \right)
D) (p2−8)(p2+3)\left( p ^ { 2 } - 8 \right) \left( p ^ { 2 } + 3 \right)
Question
Factor.
x2+2xy−8y2x ^ { 2 } + 2 x y - 8 y ^ { 2 }

A) (x+4y)(x−2y)( x + 4 y ) ( x - 2 y )
B) (x−4y)(x+y)( x - 4 y ) ( x + y )
C) (x−y)(x+2y)( x - y ) ( x + 2 y )
D) (x−4y)(x+2y)( x - 4 y ) ( x + 2 y )
Question
Factor.
x2+5xy−14y2x ^ { 2 } + 5 x y - 14 y ^ { 2 }

A) (x−y)(x+2y)( x - y ) ( x + 2 y )
B) (x+7y)(x−2y)( x + 7 y ) ( x - 2 y )
C) (x−7y)(x+2y)( x - 7 y ) ( x + 2 y )
D) (x−7y)(x+y)( x - 7 y ) ( x + y )
Question
Factor.
5x3+5x2−60x5 x ^ { 3 } + 5 x ^ { 2 } - 60 x

A) Prime
B) 5x(x−3)(x+4)5 x ( x - 3 ) ( x + 4 )
C) 5x(x+3)(x−4)5 x ( x + 3 ) ( x - 4 )
D) (5x2+15x)(x−4)\left( 5 x ^ { 2 } + 15 x \right) ( x - 4 )
Question
Factor.
x2−x−63x ^ { 2 } - x - 63

A) (x+7)(x−9)( x + 7 ) ( x - 9 )
B) (x−63)(x+1)( x - 63 ) ( x + 1 )
C) Prime
D) (x−7)(x+9)( x - 7 ) ( x + 9 )
Question
Factor.
u2−2uv−24v2u ^ { 2 } - 2 u v - 24 v ^ { 2 }

A) (u−v)(u+6v)( u - v ) ( u + 6 v )
B) (u−4v)(u+6v)( u - 4 v ) ( u + 6 v )
C) (u−4v)(u+v)( u - 4 v ) ( u + v )
D) (u+4v)(u−6v)( u + 4 v ) ( u - 6 v )
Question
Factor.
x3+6x2−16xx ^ { 3 } + 6 x ^ { 2 } - 16 x

A) (x2+8)(x−2)\left( x ^ { 2 } + 8 \right) ( x - 2 )
B) x(x+8)(x−2)x ( x + 8 ) ( x - 2 )
C) x(x−8)(x+2)x ( x - 8 ) ( x + 2 )
D) (x2+2)(x−8)\left( x ^ { 2 } + 2 \right) ( x - 8 )
Question
Factor.
x2+23x+19x ^ { 2 } + \frac { 2 } { 3 } x + \frac { 1 } { 9 }

A) x(x+23)x \left( x + \frac { 2 } { 3 } \right)
B) Prime
C) (x+13)2\left( x + \frac { 1 } { 3 } \right) ^ { 2 }
D) (x+23)2\left( x + \frac { 2 } { 3 } \right) ^ { 2 }
Question
Factor.
u2−4uv−45v2u ^ { 2 } - 4 u v - 45 v ^ { 2 }

A) (u−5v)(u+v)( u - 5 v ) ( u + v )
B) (u−v)(u+9v)( u - v ) ( u + 9 v )
C) (u+5v)(u−9v)( u + 5 v ) ( u - 9 v )
D) (u−5v)(u+9v)( u - 5 v ) ( u + 9 v )
Question
Factor.
x3−x2−72xx ^ { 3 } - x ^ { 2 } - 72 x

A) (x2+1)(x−72)\left( x ^ { 2 } + 1 \right) ( x - 72 )
B) x(x+8)(x−9)x ( x + 8 ) ( x - 9 )
C) Prime
D) x(x+9)(x−8)x ( x + 9 ) ( x - 8 )
Question
Factor.
x2−2xy−24y2x ^ { 2 } - 2 x y - 24 y ^ { 2 }

A) (x−6y)(x+y)( x - 6 y ) ( x + y )
B) (x−6y)(x+4y)( x - 6 y ) ( x + 4 y )
C) (x+6y)(x−4y)( x + 6 y ) ( x - 4 y )
D) (x−y)(x+4y)( x - y ) ( x + 4 y )
Question
Factor.
12x2−52x−4012 x ^ { 2 } - 52 x - 40

A) 4(3x+2)(x−5)4 ( 3 x + 2 ) ( x - 5 )
B) (12x+8)(x−5)( 12 x + 8 ) ( x - 5 )
C) 4(3x−2)(x+5)4 ( 3 x - 2 ) ( x + 5 )
D) (3x+2)(4x−20)( 3 x + 2 ) ( 4 x - 20 )
Question
Factor.
t2+0.2t−0.24\mathrm { t } ^ { 2 } + 0.2 \mathrm { t } - 0.24

A) (t+0.24)(t−1)( t + 0.24 ) ( t - 1 )
B) (t+0.6)(t−0.4)( t + 0.6 ) ( t - 0.4 )
C) (t−0.6)(t+0.4)( t - 0.6 ) ( t + 0.4 )
D) (t+0.1)2( t + 0.1 ) ^ { 2 }
Question
Factor.
20z2−3z−920 z ^ { 2 } - 3 z - 9

A) (4z+3)(5z−3)( 4 z + 3 ) ( 5 z - 3 )
B) Prime
C) (4z−3)(5z+3)( 4 z - 3 ) ( 5 z + 3 )
D) (20z−3)(z+3)( 20 \mathrm { z } - 3 ) ( \mathrm { z } + 3 )
Question
Factor.
x2−1.2x+0.35x ^ { 2 } - 1.2 x + 0.35

A) (x−0.7)(x−0.5)( x - 0.7 ) ( x - 0.5 )
B) (x−0.7)(x+0.5)( x - 0.7 ) ( x + 0.5 )
C) (x−0.6)2( x - 0.6 ) ^ { 2 }
D) (x+0.7)(x−0.5)( x + 0.7 ) ( x - 0.5 )
Question
Factor.
t2+0.6t+0.09t ^ { 2 } + 0.6 t + 0.09

A) t(t+0.6)t ( t + 0.6 )
B) (t+0.6)2( t + 0.6 ) ^ { 2 }
C) (t+0.3)2( t + 0.3 ) ^ { 2 }
D) (t2+0.3)2\left( t ^ { 2 } + 0.3 \right) ^ { 2 }
Question
Factor.
49−126x+81x249 - 126 x + 81 x ^ { 2 }

A) (81x−7)(x−7)( 81 x - 7 ) ( x - 7 )
B) (9x+7)2( 9 x + 7 ) ^ { 2 }
C) (9x−7)2( 9 x - 7 ) ^ { 2 }
D) Prime
Question
Factor.
y2+0.6y−0.16y ^ { 2 } + 0.6 y - 0.16

A) (y−0.8)(y−0.2)( y - 0.8 ) ( y - 0.2 )
B) (y+0.8)(y−0.2)( \mathrm { y } + 0.8 ) ( \mathrm { y } - 0.2 )
C) (y+0.3)2( y + 0.3 ) ^ { 2 }
D) (y−0.8)(y+0.2)( \mathrm { y } - 0.8 ) ( \mathrm { y } + 0.2 )
Question
Factor.
15z2+4z−415 z ^ { 2 } + 4 z - 4

A) (15z+2)(z−2)( 15 z + 2 ) ( z - 2 )
B) Prime
C) (3z+2)(5z−2)( 3 z + 2 ) ( 5 z - 2 )
D) (3z−2)(5z+2)( 3 z - 2 ) ( 5 z + 2 )
Question
Factor.
6y2+27y−156 y ^ { 2 } + 27 y - 15

A) 3(2y+1)(y−5)3 ( 2 y + 1 ) ( y - 5 )
B) 3(2y−1)(y+5)3 ( 2 y - 1 ) ( y + 5 )
C) (2y−1)(3y+15)( 2 y - 1 ) ( 3 y + 15 )
D) (6y−3)(y+5)( 6 y - 3 ) ( y + 5 )
Question
Factor.
15x2+32x+1615 x ^ { 2 } + 32 x + 16

A) (3x−4)(5x−4)( 3 x - 4 ) ( 5 x - 4 )
B) Prime
C) (3x+4)(5x+4)( 3 x + 4 ) ( 5 x + 4 )
D) (15x+4)(x+4)( 15 x + 4 ) ( x + 4 )
Question
Factor.
t2+0.8t+0.12t ^ { 2 } + 0.8 t + 0.12

A) Prime
B) (t+0.2)(t+0.6)( t + 0.2 ) ( t + 0.6 )
C) (t+0.4)2( t + 0.4 ) ^ { 2 }
D) (t+0.8)(t+0.12)( t + 0.8 ) ( t + 0.12 )
Question
Factor.
14x2−49x−2814 x ^ { 2 } - 49 x - 28

A) 7(2x−1)(x+4)7 ( 2 x - 1 ) ( x + 4 )
B) (2x−1)(7x+28)( 2 x - 1 ) ( 7 x + 28 )
C) (14x−7)(x+4)( 14 x - 7 ) ( x + 4 )
D) 7(2x+1)(x−4)7 ( 2 x + 1 ) ( x - 4 )
Question
Factor.
x2+67x+949x ^ { 2 } + \frac { 6 } { 7 } x + \frac { 9 } { 49 }

A) (x+67)(x+37)\left( x + \frac { 6 } { 7 } \right) \left( x + \frac { 3 } { 7 } \right)
B) (x2+37)2\left( x ^ { 2 } + \frac { 3 } { 7 } \right) ^ { 2 }
C) (x+37)2\left( x + \frac { 3 } { 7 } \right) ^ { 2 }
D) (x+37(x+37x)\left( x + \frac { 3 } { 7 } \left( x + \frac { 3 } { 7 } x \right) \right.
Question
Factor.
x2+45x+425x ^ { 2 } + \frac { 4 } { 5 } x + \frac { 4 } { 25 }

A) (x+45)(x+25)\left( x + \frac { 4 } { 5 } \right) \left( x + \frac { 2 } { 5 } \right)
B) (x+25)(x+25x)\left( x + \frac { 2 } { 5 } \right) \left( x + \frac { 2 } { 5 } x \right)
C) (x2+25)2\left( x ^ { 2 } + \frac { 2 } { 5 } \right) ^ { 2 }
D) (x+25)2\left( x + \frac { 2 } { 5 } \right) ^ { 2 }
Question
Factor.
5x2−5x−305 x ^ { 2 } - 5 x - 30

A) 5(x−2)(x+3)5 ( x - 2 ) ( x + 3 )
B) (x+2)(5x−15)( x + 2 ) ( 5 x - 15 )
C) (5x+10)(x−3)( 5 x + 10 ) ( x - 3 )
D) 5(x+2)(x−3)5 ( x + 2 ) ( x - 3 )
Question
Factor.
y2−23y+19y ^ { 2 } - \frac { 2 } { 3 } y + \frac { 1 } { 9 }

A) (y+13)2\left( y + \frac { 1 } { 3 } \right) ^ { 2 }
B) Prime
C) y(y−23)y \left( y - \frac { 2 } { 3 } \right)
D) (y−13)2\left( y - \frac { 1 } { 3 } \right) ^ { 2 }
Question
Factor.
4x2−9x+84 x ^ { 2 } - 9 x + 8

A) (2x−8)(2x−1)( 2 x - 8 ) ( 2 x - 1 )
B) (4x−8)(x−1)( 4 x - 8 ) ( x - 1 )
C) (4x−1)(x−8)( 4 x - 1 ) ( x - 8 )
D) Prime
Question
Factor.
−42x2−35x+42- 42 x ^ { 2 } - 35 x + 42

A) 7(−3x+2)(2x+3)7 ( - 3 x + 2 ) ( 2 x + 3 )
B) (−21x+14)(2x+3)( - 21 x + 14 ) ( 2 x + 3 )
C) (−3x+2)(14x+21)( - 3 x + 2 ) ( 14 x + 21 )
D) 7(3x+2)(−2x+3)7 ( 3 x + 2 ) ( - 2 x + 3 )
Question
Factor.
15y2+16y+415 y ^ { 2 } + 16 y + 4

A) (3y+2)(5y+2)( 3 y + 2 ) ( 5 y + 2 )
B) Prime
C) (15y+2)(y+2)( 15 y + 2 ) ( y + 2 )
D) (3y−2)(5y−2)( 3 y - 2 ) ( 5 y - 2 )
Question
Factor.
y2+1.6y+0.64y ^ { 2 } + 1.6 y + 0.64

A) (y2+0.8)2\left( y ^ { 2 } + 0.8 \right) ^ { 2 }
B) (y+1.6)2( \mathrm { y } + 1.6 ) ^ { 2 }
C) (y+0.8)2( y + 0.8 ) ^ { 2 }
D) y(y+1y ( y + 1 .6
Question
Factor.
12x2+13xt+3t212 x ^ { 2 } + 13 x t + 3 t ^ { 2 }

A) (3x−t)(4x−3t)( 3 x - t ) ( 4 x - 3 t )
B) (12x+t)(x+3t)( 12 x + t ) ( x + 3 t )
C) Prime
D) (3x+t)(4x+3t)( 3 x + t ) ( 4 x + 3 t )
Question
Factor.
3a3+6a2−45a3 a ^ { 3 } + 6 a ^ { 2 } - 45 a

A) 3a(a+5)(a+3)3 a ( a + 5 ) ( a + 3 )
B) 3a(a−5)(a+3)3 a ( a - 5 ) ( a + 3 )
C) 3a(a+5)(a−3)3 a ( a + 5 ) ( a - 3 )
D) 3a(a−5)(a−3)3 a ( a - 5 ) ( a - 3 )
Question
Factor.
10z3+11z2−6z10 z ^ { 3 } + 11 z ^ { 2 } - 6 z

A) z(10z+1)(z−6)z ( 10 z + 1 ) ( z - 6 )
B) (2z−3)(5z+2)( 2 z - 3 ) ( 5 z + 2 )
C) z(2z+3)(5z−2)z ( 2 z + 3 ) ( 5 z - 2 )
D) (z2−2)(10z+3)\left( z ^ { 2 } - 2 \right) ( 10 z + 3 )
Question
Factor.
15z4−8z2−1615 z ^ { 4 } - 8 z ^ { 2 } - 16

A) (5z2+4)(3z2−4)\left( 5 z ^ { 2 } + 4 \right) \left( 3 z ^ { 2 } - 4 \right)
B) (5z4+4)(3z−4)\left( 5 z ^ { 4 } + 4 \right) ( 3 z - 4 )
C) (3z4+4)(5z−4)\left( 3 z ^ { 4 } + 4 \right) ( 5 z - 4 )
D) (3z2+4)(5z2−4)\left( 3 z ^ { 2 } + 4 \right) \left( 5 z ^ { 2 } - 4 \right)
Question
Factor.
80z8+108z5+36z280 z ^ { 8 } + 108 z ^ { 5 } + 36 z ^ { 2 }

A) 4z2(5z3−3)(4z3−3)4 z ^ { 2 } \left( 5 z ^ { 3 } - 3 \right) \left( 4 z ^ { 3 } - 3 \right)
B) (4z4+4)(5z4+3)\left( 4 z ^ { 4 } + 4 \right) \left( 5 z ^ { 4 } + 3 \right)
C) 4z2(4z3+3)(5z3+3)4 z ^ { 2 } \left( 4 z ^ { 3 } + 3 \right) \left( 5 z ^ { 3 } + 3 \right)
D) 4(4z6+3)(5z2+3)4 \left( 4 z ^ { 6 } + 3 \right) \left( 5 z ^ { 2 } + 3 \right)
Question
Factor.
3x5−21x4+36x33 x ^ { 5 } - 21 x ^ { 4 } + 36 x ^ { 3 }

A) 3x3(x−3)(x+4)3 x ^ { 3 } ( x - 3 ) ( x + 4 )
B) 3x3(x+3)(x−4)3 x ^ { 3 } ( x + 3 ) ( x - 4 )
C) 3x3(x−3)(x−4)3 x ^ { 3 } ( x - 3 ) ( x - 4 )
D) 3x3(x+3)(x+4)3 x ^ { 3 } ( x + 3 ) ( x + 4 )
Question
Factor.
84x2+49xy+7y284 x ^ { 2 } + 49 x y + 7 y ^ { 2 }

A) (21x+7y)(4x+y)( 21 x + 7 y ) ( 4 x + y )
B) 7(3x+y)(4x+y)7 ( 3 x + y ) ( 4 x + y )
C) 7(3x−y)(4x−y)7 ( 3 x - y ) ( 4 x - y )
D) (3x+y)(7x+3y)( 3 x + y ) ( 7 x + 3 y )
Question
Factor.
12x2−25xy+12y212 x ^ { 2 } - 25 x y + 12 y ^ { 2 }

A) (12x+4y)(x+3y)( 12 x + 4 y ) ( x + 3 y )
B) (3x−4y)(4x−3y)( 3 x - 4 y ) ( 4 x - 3 y )
C) (3x+4y)(4x−3y)( 3 x + 4 y ) ( 4 x - 3 y )
D) (3x+4y)(4x+3y)( 3 x + 4 y ) ( 4 x + 3 y )
Question
Factor.
12x2+25xy+12y212 x ^ { 2 } + 25 x y + 12 y ^ { 2 }

A) (12x+y)(x+12y)( 12 x + y ) ( x + 12 y )
B) (3x−4y)(4x−3y)( 3 x - 4 y ) ( 4 x - 3 y )
C) (3x+4y)(4x+3y)( 3 x + 4 y ) ( 4 x + 3 y )
D) (12x+4y)(x+3y)( 12 x + 4 y ) ( x + 3 y )
Question
Factor.
7x2−21xy−28y27 x ^ { 2 } - 21 x y - 28 y ^ { 2 }

A) (7x−7y)(x+4y)( 7 x - 7 y ) ( x + 4 y )
B) (x−y)(7x+21y)( x - y ) ( 7 x + 21 y )
C) 7(x−y)(x+4y)7 ( x - y ) ( x + 4 y )
D) 7(x+y)(x−4y)7 ( x + y ) ( x - 4 y )
Question
Factor by grouping.
s2+4s+9s+36s ^ { 2 } + 4 s + 9 s + 36

A) (s+4)(s−9)( \mathrm { s } + 4 ) ( \mathrm { s } - 9 )
B) s(s+49)s ( s + 49 )
C) (s−4)(s−9)( s - 4 ) ( s - 9 )
D) (s+4)(s+9)( s + 4 ) ( s + 9 )
Question
Factor.
8x2−24xy−32y28 x ^ { 2 } - 24 x y - 32 y ^ { 2 }

A) 8(x−y)(x+4y)8 ( x - y ) ( x + 4 y )
B) (8x−8y)(x+4y)( 8 x - 8 y ) ( x + 4 y )
C) (x−y)(8x+24y)( x - y ) ( 8 x + 24 y )
D) 8(x+y)(x−4y)8 ( x + y ) ( x - 4 y )
Question
Factor.
12z6+38z4+20z212 z ^ { 6 } + 38 z ^ { 4 } + 20 z ^ { 2 }

A) 2z2(3z2−2)(2z2−5)2 z ^ { 2 } \left( 3 z ^ { 2 } - 2 \right) \left( 2 z ^ { 2 } - 5 \right)
B) 2(2z4+5)(3z2+2)2 \left( 2 z ^ { 4 } + 5 \right) \left( 3 z ^ { 2 } + 2 \right)
C) (4z3+10)(3z3+2)\left( 4 z ^ { 3 } + 10 \right) \left( 3 z ^ { 3 } + 2 \right)
D) 2z2(2z2+5)(3z2+2)2 z ^ { 2 } \left( 2 z ^ { 2 } + 5 \right) \left( 3 z ^ { 2 } + 2 \right)
Question
Factor.
12z2+7zy−12y212 z ^ { 2 } + 7 z y - 12 y ^ { 2 }

A) (12z−3y)(z+4y)( 12 z - 3 y ) ( z + 4 y )
B) (4z+3y)(3z−4y)( 4 z + 3 y ) ( 3 z - 4 y )
C) (12z+y)(z−12y)( 12 z + y ) ( z - 12 y )
D) (4z−3y)(3z+4y)( 4 z - 3 y ) ( 3 z + 4 y )
Question
Factor.
245x2+350xy+125y2245 x ^ { 2 } + 350 x y + 125 y ^ { 2 }

A) 5(49x2+70xy+25y)5 \left( 49 x ^ { 2 } + 70 x y + 25 y \right)
B) 5(7x−5y)(7x+5y)5 ( 7 x - 5 y ) ( 7 x + 5 y )
C) (35x+25y)(7x+5y)( 35 x + 25 y ) ( 7 x + 5 y )
D) 5(7x+5y)25 ( 7 x + 5 y ) ^ { 2 }
Question
Factor.
10x3+19x2+6x10 x ^ { 3 } + 19 x ^ { 2 } + 6 x

A) x(10x+1)(x+6)x ( 10 x + 1 ) ( x + 6 )
B) (10x2+3)(x+2)\left( 10 x ^ { 2 } + 3 \right) ( x + 2 )
C) x(2x+3)(5x+2)x ( 2 x + 3 ) ( 5 x + 2 )
D) x(2x−3)(5x−2)x ( 2 x - 3 ) ( 5 x - 2 )
Question
Factor.
6x3−26x2−20x6 x ^ { 3 } - 26 x ^ { 2 } - 20 x

A) 2x(3x+2)(x−5)2 x ( 3 x + 2 ) ( x - 5 )
B) x(3x+2)(2x−10)x ( 3 x + 2 ) ( 2 x - 10 )
C) (x2−5)(6x+4)\left( x ^ { 2 } - 5 \right) ( 6 x + 4 )
D) 2(3x−2)(x+5)2 ( 3 x - 2 ) ( x + 5 )
Question
Factor.
9x4−18x3+8x29 x ^ { 4 } - 18 x ^ { 3 } + 8 x ^ { 2 }

A) (9x2+2)(x2+4)\left( 9 x ^ { 2 } + 2 \right) \left( x ^ { 2 } + 4 \right)
B) x(3x+2)(3x+4)x ( 3 x + 2 ) ( 3 x + 4 )
C) x2(9x−1)(x−8)x ^ { 2 } ( 9 x - 1 ) ( x - 8 )
D) x2(3x−2)(3x−4)x ^ { 2 } ( 3 x - 2 ) ( 3 x - 4 )
Question
Factor.
3x3+3x2−60x3 x ^ { 3 } + 3 x ^ { 2 } - 60 x

A) (3x2+12x)(x−5)\left( 3 x ^ { 2 } + 12 x \right) ( x - 5 )
B) 3x(x+4)(x−5)3 x ( x + 4 ) ( x - 5 )
C) (x−4)(3x2+15)( x - 4 ) \left( 3 x ^ { 2 } + 15 \right)
D) 3x(x−4)(x+5)3 x ( x - 4 ) ( x + 5 )
Question
Factor.
16x2−24xt+9t216 x ^ { 2 } - 24 x t + 9 t ^ { 2 }

A) (4x+3t)(4x+3t)( 4 x + 3 t ) ( 4 x + 3 t )
В) (16x−3t)(x−3t)( 16 x - 3 t ) ( x - 3 t )
C) Prime
D) (4x−3t)(4x−3t)( 4 x - 3 t ) ( 4 x - 3 t )
Unlock Deck
Sign up to unlock the cards in this deck!
Unlock Deck
Unlock Deck
1/154
auto play flashcards
Play
simple tutorial
Full screen (f)
exit full mode
Deck 5: Polynomials: Factoring
1
Factor.
36m9−18m4−48m236 m ^ { 9 } - 18 m ^ { 4 } - 48 m ^ { 2 }

A) m2(36m7−18m2−48)m ^ { 2 } \left( 36 m ^ { 7 } - 18 m ^ { 2 } - 48 \right)
B) No common factor
C) 6(6m9−3m4−8m2)6 \left( 6 m ^ { 9 } - 3 m ^ { 4 } - 8 m ^ { 2 } \right)
D) 6m2(6m7−3m2−8)6 m ^ { 2 } \left( 6 m ^ { 7 } - 3 m ^ { 2 } - 8 \right)
D
2
Factor by grouping.
x3−7x2−8x+56x ^ { 3 } - 7 x ^ { 2 } - 8 x + 56

A) (x+7)(x2+8)( x + 7 ) \left( x ^ { 2 } + 8 \right)
В) (x−7)(x2−8)( x - 7 ) \left( x ^ { 2 } - 8 \right)
C) (x+7)(x3−8)( x + 7 ) \left( x ^ { 3 } - 8 \right)
D) (x−7)(x2+8x)( x - 7 ) \left( x ^ { 2 } + 8 x \right)
B
3
Factor.
5 m(2−m)+4n(2−m)5 \mathrm {~m} ( 2 - \mathrm { m } ) + 4 \mathrm { n } ( 2 - \mathrm { m } )

A) No common factor
B) m(5+4n)(2−1)m ( 5 + 4 n ) ( 2 - 1 )
C) (5m+4n)(2−m)( 5 m + 4 n ) ( 2 - m )
D) (5m−4n)(2−m)( 5 m - 4 n ) ( 2 - m )
C
4
Factor by grouping.
x3−2x2+4x−8x ^ { 3 } - 2 x ^ { 2 } + 4 x - 8

A) (x−2)(x2+2)( x - 2 ) \left( x ^ { 2 } + 2 \right)
B) (x−2)(x2+4)( x - 2 ) \left( x ^ { 2 } + 4 \right)
C) (x−8)(x2−2x+4)( x - 8 ) \left( x ^ { 2 } - 2 x + 4 \right)
D) (x+2)(x2+4)( x + 2 ) \left( x ^ { 2 } + 4 \right)
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
5
Factor.
3x2y6+6x2y53 x ^ { 2 } y ^ { 6 } + 6 x ^ { 2 } y ^ { 5 }

A) 3x2y5(y+2)3 x ^ { 2 } y ^ { 5 } ( y + 2 )
B) 3x5y2(y+2)3 x ^ { 5 } y ^ { 2 } ( y + 2 )
C) y+2y + 2
D) x2y5(3y+2)x ^ { 2 } y ^ { 5 } ( 3 y + 2 )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
6
Factor.
t(2−m)+s(2−m)\mathrm { t } ( 2 - \mathrm { m } ) + \mathrm { s } ( 2 - \mathrm { m } )

A) No common factor
B) (t−s)(2−m)( t - s ) ( 2 - m )
C) t(2−m)+s\mathrm { t } ( 2 - \mathrm { m } ) + \mathrm { s }
D) (t+s)(2−m)( t + s ) ( 2 - m )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
7
Factor.
4x(3x−2)−3(3x−2)4 x ( 3 x - 2 ) - 3 ( 3 x - 2 )

A) (12x−3)(x−2)( 12 x - 3 ) ( x - 2 )
B) (4x−3)(3x−2)( 4 x - 3 ) ( 3 x - 2 )
C) (4x+3)(3x+2)( 4 x + 3 ) ( 3 x + 2 )
D) (12x+3)(x+2)( 12 x + 3 ) ( x + 2 )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
8
Find the GCF.
x5y5,x4y3,x4y4,−xyx ^ { 5 } y ^ { 5 } , x ^ { 4 } y ^ { 3 } , x ^ { 4 } y ^ { 4 } , - x y

A) −xy- x y
B) xyx y
C) x3y3x ^ { 3 } y ^ { 3 }
D) x4y3x ^ { 4 } y ^ { 3 }
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
9
Factor by grouping.
x3+5x2+8x+40x ^ { 3 } + 5 x ^ { 2 } + 8 x + 40

A) (x+5)(x2+8)( x + 5 ) \left( x ^ { 2 } + 8 \right)
B) (x+5)(x2−8)( x + 5 ) \left( x ^ { 2 } - 8 \right)
C) (x+5x)(x2+8)( x + 5 x ) \left( x ^ { 2 } + 8 \right)
D) (x−5)(x3+8)( x - 5 ) \left( x ^ { 3 } + 8 \right)
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
10
Factor.
x6−17xy5+37x3y6−47x6y5x ^ { 6 } - 17 x y ^ { 5 } + 37 x ^ { 3 } y ^ { 6 } - 47 x ^ { 6 } y ^ { 5 }

A) x(x5−17y5+37x2y6−47x5y5)x \left( x ^ { 5 } - 17 y ^ { 5 } + 37 x ^ { 2 } y ^ { 6 } - 47 x ^ { 5 } y ^ { 5 } \right)
B) xy5(x5−17+37x2y1−47x5)x y ^ { 5 } \left( x ^ { 5 } - 17 + 37 x ^ { 2 } y ^ { 1 } - 47 x ^ { 5 } \right)
C) x2(x5−17y4+37x2y5−47x5y4)x ^ { 2 } \left( x ^ { 5 } - 17 y ^ { 4 } + 37 x ^ { 2 } y ^ { 5 } - 47 x ^ { 5 } y ^ { 4 } \right)
D) xy(x5−17y4+37x2y5−47x5y4)x y \left( x ^ { 5 } - 17 y ^ { 4 } + 37 x ^ { 2 } y ^ { 5 } - 47 x ^ { 5 } y ^ { 4 } \right)
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
11
Factor.
40x8y9+64x6y5+80x4y240 x ^ { 8 } y ^ { 9 } + 64 x ^ { 6 } y ^ { 5 } + 80 x ^ { 4 } y ^ { 2 }

A) No common factor
B) 8(5x8y9+8x6y5+10x4y2)8 \left( 5 x ^ { 8 } y ^ { 9 } + 8 x ^ { 6 } y ^ { 5 } + 10 x ^ { 4 } y ^ { 2 } \right)
C) 8x4(5x4y9+8x2y5+10y2)8 x ^ { 4 } \left( 5 x ^ { 4 } y ^ { 9 } + 8 x ^ { 2 } y ^ { 5 } + 10 y ^ { 2 } \right)
D) 8x4y2(5x4y7+8x2y3+10)8 x ^ { 4 } y ^ { 2 } \left( 5 x ^ { 4 } y ^ { 7 } + 8 x ^ { 2 } y ^ { 3 } + 10 \right)
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
12
Factor.
53x7−43x6+83x5+13x4\frac { 5 } { 3 } x ^ { 7 } - \frac { 4 } { 3 } x ^ { 6 } + \frac { 8 } { 3 } x ^ { 5 } + \frac { 1 } { 3 } x ^ { 4 }

A) 13x5(5x4−4x3+8x2+x)\frac { 1 } { 3 } x ^ { 5 } \left( 5 x ^ { 4 } - 4 x ^ { 3 } + 8 x ^ { 2 } + x \right)
B) 13x5(5x3+4x2−8x−1)\frac { 1 } { 3 } x ^ { 5 } \left( 5 x ^ { 3 } + 4 x ^ { 2 } - 8 x - 1 \right)
C) 53x4(x3−3x2+7x+1)\frac { 5 } { 3 } x ^ { 4 } \left( x ^ { 3 } - 3 x ^ { 2 } + 7 x + 1 \right)
D) 13x4(5x3−4x2+8x+1)\frac { 1 } { 3 } x ^ { 4 } \left( 5 x ^ { 3 } - 4 x ^ { 2 } + 8 x + 1 \right)
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
13
Find the GCF.
−x2,−2x,−4x5- x ^ { 2 } , - 2 x , - 4 x ^ { 5 }

A) −x2- x ^ { 2 }
B) −2x- 2 x
C) −x- x
D) −2x2- 2 x ^ { 2 }
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
14
Factor.
25m2−13r325 m ^ { 2 } - 13 r ^ { 3 }

A) 3(8m2−4r3)3 \left( 8 m ^ { 2 } - 4 r ^ { 3 } \right)
B) m2(25−13 m)\mathrm { m } ^ { 2 } ( 25 - 13 \mathrm {~m} )
C) No common factor
D) 2(12m2+6r3)2 \left( 12 m ^ { 2 } + 6 r ^ { 3 } \right)
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
15
Factor by grouping.
2x3−6x2−6x+182 x ^ { 3 } - 6 x ^ { 2 } - 6 x + 18

A) Not possible
B) (x−3)(2x2−6)( x - 3 ) \left( 2 x ^ { 2 } - 6 \right)
C) (x+18)(x2−6x−6)( x + 18 ) \left( x ^ { 2 } - 6 x - 6 \right)
D) (x+3)(2x2−6)( x + 3 ) \left( 2 x ^ { 2 } - 6 \right)
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
16
Find the GCF.
6x4,−12x6 x ^ { 4 } , - 12 x

A) 6x46 x ^ { 4 }
B) −12x4- 12 x ^ { 4 }
C) 6x6 x
D) 4x4 \mathrm { x }
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
17
Factor.
5x2+15x5 \mathrm { x } ^ { 2 } + 15 \mathrm { x }

A) 5x(x+15)5 x ( x + 15 )
B) 5x(x+3)5 x ( x + 3 )
C) 5x2(x+3)5 x ^ { 2 } ( x + 3 )
D) x(5x+15)x ( 5 x + 15 )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
18
Factor.
9m8−21m6−27m49 m ^ { 8 } - 21 m ^ { 6 } - 27 m ^ { 4 }

A) 3m4(3m4−7m2−9)3 m ^ { 4 } \left( 3 m ^ { 4 } - 7 m ^ { 2 } - 9 \right)
B) No common factor
C) m4(9m4−21m2−27)m ^ { 4 } \left( 9 m ^ { 4 } - 21 m ^ { 2 } - 27 \right)
D) 3(3m8−7m6−9m4)3 \left( 3 m ^ { 8 } - 7 m ^ { 6 } - 9 m ^ { 4 } \right)
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
19
Factor by grouping.
x3+2x2−10x−20x ^ { 3 } + 2 x ^ { 2 } - 10 x - 20

A) (x2+2)(x−10)\left( x ^ { 2 } + 2 \right) ( x - 10 )
B) (x+2)(x2−10)( x + 2 ) \left( x ^ { 2 } - 10 \right)
C) (x+2)(x3−10x)( x + 2 ) \left( x ^ { 3 } - 10 x \right)
D) (x−2)(x2−10)( x - 2 ) \left( x ^ { 2 } - 10 \right)
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
20
Factor.
10y−3010 y - 30

A) No common factor
B) 30
C) 10y10 y
D) 10(y−3)10 ( y - 3 )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
21
Factor.
5x9−40x8−60x75 x ^ { 9 } - 40 x ^ { 8 } - 60 x ^ { 7 }

A) 5x7(x2−6x−12)5 x ^ { 7 } \left( x ^ { 2 } - 6 x - 12 \right)
B) 5x7(x−6)(x−2)5 x ^ { 7 } ( x - 6 ) ( x - 2 )
C) 5x7(x−6)(x+2)5 x ^ { 7 } ( x - 6 ) ( x + 2 )
D) 5x6(x2−6x−12)5 x ^ { 6 } \left( x ^ { 2 } - 6 x - 12 \right)
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
22
Factor.
2x2−14x+202 x ^ { 2 } - 14 x + 20

A) 2(x−10)(x+1)2 ( x - 10 ) ( x + 1 )
B) Prime
C) 2(x−2)(x−5)2 ( x - 2 ) ( x - 5 )
D) (2x−4)(x−5)( 2 x - 4 ) ( x - 5 )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
23
Factor.
9x2−9x−549 x ^ { 2 } - 9 x - 54

A) (9x+18)(x−3)( 9 x + 18 ) ( x - 3 )
B) 9(x−2)(x+3)9 ( x - 2 ) ( x + 3 )
C) 9(x+2)(x−3)9 ( x + 2 ) ( x - 3 )
D) Prime
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
24
Factor.
x2−x−30x ^ { 2 } - x - 30

A) (x+1)(x−30)( x + 1 ) ( x - 30 )
B) (x+5)(x−6)( x + 5 ) ( x - 6 )
C) (x+6)(x−5)( x + 6 ) ( x - 5 )
D) Prime
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
25
Factor.
24−2x−x224 - 2 x - x ^ { 2 }

A) (−x−6)(x−4)( - x - 6 ) ( x - 4 )
B) (x−6)(x−4)( x - 6 ) ( x - 4 )
C) (−x−4)(x−6)( - x - 4 ) ( x - 6 )
D) (x+6)(x−4)( x + 6 ) ( x - 4 )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
26
Factor.
u2−2uv−15v2u ^ { 2 } - 2 u v - 15 v ^ { 2 }

A) (u+3v)(u−5v)( u + 3 v ) ( u - 5 v )
B) (u−3v)(u+v)( u - 3 v ) ( u + v )
C) (u−3v)(u+5v)( u - 3 v ) ( u + 5 v )
D) (u−v)(u+5v)( u - v ) ( u + 5 v )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
27
Factor.
x2+7xy−120y2x ^ { 2 } + 7 x y - 120 y ^ { 2 }

A) (x+15y)(x−8y)( x + 15 y ) ( x - 8 y )
B) (x−y)(x+8y)( x - y ) ( x + 8 y )
C) (x−15y)(x+y)( x - 15 y ) ( x + y )
D) (x−15y)(x+8y)( x - 15 y ) ( x + 8 y )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
28
Factor.
x2−6x−72x ^ { 2 } - 6 x - 72

A) (x−6)(x+1)( x - 6 ) ( x + 1 )
B) Prime
C) (x−6)(x+12)( x - 6 ) ( x + 12 )
D) (x+6)(x−12)( x + 6 ) ( x - 12 )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
29
Factor.
x2+4x−96x ^ { 2 } + 4 x - 96

A) (x−12)(x+1)( x - 12 ) ( x + 1 )
B) (x−12)(x+8)( x - 12 ) ( x + 8 )
C) Prime
D) (x+12)(x−8)( x + 12 ) ( x - 8 )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
30
Factor.
p4−11p2+24p ^ { 4 } - 11 p ^ { 2 } + 24

A) p2(p−8)(p−3)p ^ { 2 } ( p - 8 ) ( p - 3 )
B) (p2−24)(p2−1)\left( p ^ { 2 } - 24 \right) \left( p ^ { 2 } - 1 \right)
C) (p2−8)(p2−3)\left( p ^ { 2 } - 8 \right) \left( p ^ { 2 } - 3 \right)
D) (p2−8)(p2+3)\left( p ^ { 2 } - 8 \right) \left( p ^ { 2 } + 3 \right)
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
31
Factor.
x2+2xy−8y2x ^ { 2 } + 2 x y - 8 y ^ { 2 }

A) (x+4y)(x−2y)( x + 4 y ) ( x - 2 y )
B) (x−4y)(x+y)( x - 4 y ) ( x + y )
C) (x−y)(x+2y)( x - y ) ( x + 2 y )
D) (x−4y)(x+2y)( x - 4 y ) ( x + 2 y )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
32
Factor.
x2+5xy−14y2x ^ { 2 } + 5 x y - 14 y ^ { 2 }

A) (x−y)(x+2y)( x - y ) ( x + 2 y )
B) (x+7y)(x−2y)( x + 7 y ) ( x - 2 y )
C) (x−7y)(x+2y)( x - 7 y ) ( x + 2 y )
D) (x−7y)(x+y)( x - 7 y ) ( x + y )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
33
Factor.
5x3+5x2−60x5 x ^ { 3 } + 5 x ^ { 2 } - 60 x

A) Prime
B) 5x(x−3)(x+4)5 x ( x - 3 ) ( x + 4 )
C) 5x(x+3)(x−4)5 x ( x + 3 ) ( x - 4 )
D) (5x2+15x)(x−4)\left( 5 x ^ { 2 } + 15 x \right) ( x - 4 )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
34
Factor.
x2−x−63x ^ { 2 } - x - 63

A) (x+7)(x−9)( x + 7 ) ( x - 9 )
B) (x−63)(x+1)( x - 63 ) ( x + 1 )
C) Prime
D) (x−7)(x+9)( x - 7 ) ( x + 9 )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
35
Factor.
u2−2uv−24v2u ^ { 2 } - 2 u v - 24 v ^ { 2 }

A) (u−v)(u+6v)( u - v ) ( u + 6 v )
B) (u−4v)(u+6v)( u - 4 v ) ( u + 6 v )
C) (u−4v)(u+v)( u - 4 v ) ( u + v )
D) (u+4v)(u−6v)( u + 4 v ) ( u - 6 v )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
36
Factor.
x3+6x2−16xx ^ { 3 } + 6 x ^ { 2 } - 16 x

A) (x2+8)(x−2)\left( x ^ { 2 } + 8 \right) ( x - 2 )
B) x(x+8)(x−2)x ( x + 8 ) ( x - 2 )
C) x(x−8)(x+2)x ( x - 8 ) ( x + 2 )
D) (x2+2)(x−8)\left( x ^ { 2 } + 2 \right) ( x - 8 )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
37
Factor.
x2+23x+19x ^ { 2 } + \frac { 2 } { 3 } x + \frac { 1 } { 9 }

A) x(x+23)x \left( x + \frac { 2 } { 3 } \right)
B) Prime
C) (x+13)2\left( x + \frac { 1 } { 3 } \right) ^ { 2 }
D) (x+23)2\left( x + \frac { 2 } { 3 } \right) ^ { 2 }
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
38
Factor.
u2−4uv−45v2u ^ { 2 } - 4 u v - 45 v ^ { 2 }

A) (u−5v)(u+v)( u - 5 v ) ( u + v )
B) (u−v)(u+9v)( u - v ) ( u + 9 v )
C) (u+5v)(u−9v)( u + 5 v ) ( u - 9 v )
D) (u−5v)(u+9v)( u - 5 v ) ( u + 9 v )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
39
Factor.
x3−x2−72xx ^ { 3 } - x ^ { 2 } - 72 x

A) (x2+1)(x−72)\left( x ^ { 2 } + 1 \right) ( x - 72 )
B) x(x+8)(x−9)x ( x + 8 ) ( x - 9 )
C) Prime
D) x(x+9)(x−8)x ( x + 9 ) ( x - 8 )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
40
Factor.
x2−2xy−24y2x ^ { 2 } - 2 x y - 24 y ^ { 2 }

A) (x−6y)(x+y)( x - 6 y ) ( x + y )
B) (x−6y)(x+4y)( x - 6 y ) ( x + 4 y )
C) (x+6y)(x−4y)( x + 6 y ) ( x - 4 y )
D) (x−y)(x+4y)( x - y ) ( x + 4 y )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
41
Factor.
12x2−52x−4012 x ^ { 2 } - 52 x - 40

A) 4(3x+2)(x−5)4 ( 3 x + 2 ) ( x - 5 )
B) (12x+8)(x−5)( 12 x + 8 ) ( x - 5 )
C) 4(3x−2)(x+5)4 ( 3 x - 2 ) ( x + 5 )
D) (3x+2)(4x−20)( 3 x + 2 ) ( 4 x - 20 )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
42
Factor.
t2+0.2t−0.24\mathrm { t } ^ { 2 } + 0.2 \mathrm { t } - 0.24

A) (t+0.24)(t−1)( t + 0.24 ) ( t - 1 )
B) (t+0.6)(t−0.4)( t + 0.6 ) ( t - 0.4 )
C) (t−0.6)(t+0.4)( t - 0.6 ) ( t + 0.4 )
D) (t+0.1)2( t + 0.1 ) ^ { 2 }
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
43
Factor.
20z2−3z−920 z ^ { 2 } - 3 z - 9

A) (4z+3)(5z−3)( 4 z + 3 ) ( 5 z - 3 )
B) Prime
C) (4z−3)(5z+3)( 4 z - 3 ) ( 5 z + 3 )
D) (20z−3)(z+3)( 20 \mathrm { z } - 3 ) ( \mathrm { z } + 3 )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
44
Factor.
x2−1.2x+0.35x ^ { 2 } - 1.2 x + 0.35

A) (x−0.7)(x−0.5)( x - 0.7 ) ( x - 0.5 )
B) (x−0.7)(x+0.5)( x - 0.7 ) ( x + 0.5 )
C) (x−0.6)2( x - 0.6 ) ^ { 2 }
D) (x+0.7)(x−0.5)( x + 0.7 ) ( x - 0.5 )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
45
Factor.
t2+0.6t+0.09t ^ { 2 } + 0.6 t + 0.09

A) t(t+0.6)t ( t + 0.6 )
B) (t+0.6)2( t + 0.6 ) ^ { 2 }
C) (t+0.3)2( t + 0.3 ) ^ { 2 }
D) (t2+0.3)2\left( t ^ { 2 } + 0.3 \right) ^ { 2 }
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
46
Factor.
49−126x+81x249 - 126 x + 81 x ^ { 2 }

A) (81x−7)(x−7)( 81 x - 7 ) ( x - 7 )
B) (9x+7)2( 9 x + 7 ) ^ { 2 }
C) (9x−7)2( 9 x - 7 ) ^ { 2 }
D) Prime
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
47
Factor.
y2+0.6y−0.16y ^ { 2 } + 0.6 y - 0.16

A) (y−0.8)(y−0.2)( y - 0.8 ) ( y - 0.2 )
B) (y+0.8)(y−0.2)( \mathrm { y } + 0.8 ) ( \mathrm { y } - 0.2 )
C) (y+0.3)2( y + 0.3 ) ^ { 2 }
D) (y−0.8)(y+0.2)( \mathrm { y } - 0.8 ) ( \mathrm { y } + 0.2 )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
48
Factor.
15z2+4z−415 z ^ { 2 } + 4 z - 4

A) (15z+2)(z−2)( 15 z + 2 ) ( z - 2 )
B) Prime
C) (3z+2)(5z−2)( 3 z + 2 ) ( 5 z - 2 )
D) (3z−2)(5z+2)( 3 z - 2 ) ( 5 z + 2 )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
49
Factor.
6y2+27y−156 y ^ { 2 } + 27 y - 15

A) 3(2y+1)(y−5)3 ( 2 y + 1 ) ( y - 5 )
B) 3(2y−1)(y+5)3 ( 2 y - 1 ) ( y + 5 )
C) (2y−1)(3y+15)( 2 y - 1 ) ( 3 y + 15 )
D) (6y−3)(y+5)( 6 y - 3 ) ( y + 5 )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
50
Factor.
15x2+32x+1615 x ^ { 2 } + 32 x + 16

A) (3x−4)(5x−4)( 3 x - 4 ) ( 5 x - 4 )
B) Prime
C) (3x+4)(5x+4)( 3 x + 4 ) ( 5 x + 4 )
D) (15x+4)(x+4)( 15 x + 4 ) ( x + 4 )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
51
Factor.
t2+0.8t+0.12t ^ { 2 } + 0.8 t + 0.12

A) Prime
B) (t+0.2)(t+0.6)( t + 0.2 ) ( t + 0.6 )
C) (t+0.4)2( t + 0.4 ) ^ { 2 }
D) (t+0.8)(t+0.12)( t + 0.8 ) ( t + 0.12 )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
52
Factor.
14x2−49x−2814 x ^ { 2 } - 49 x - 28

A) 7(2x−1)(x+4)7 ( 2 x - 1 ) ( x + 4 )
B) (2x−1)(7x+28)( 2 x - 1 ) ( 7 x + 28 )
C) (14x−7)(x+4)( 14 x - 7 ) ( x + 4 )
D) 7(2x+1)(x−4)7 ( 2 x + 1 ) ( x - 4 )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
53
Factor.
x2+67x+949x ^ { 2 } + \frac { 6 } { 7 } x + \frac { 9 } { 49 }

A) (x+67)(x+37)\left( x + \frac { 6 } { 7 } \right) \left( x + \frac { 3 } { 7 } \right)
B) (x2+37)2\left( x ^ { 2 } + \frac { 3 } { 7 } \right) ^ { 2 }
C) (x+37)2\left( x + \frac { 3 } { 7 } \right) ^ { 2 }
D) (x+37(x+37x)\left( x + \frac { 3 } { 7 } \left( x + \frac { 3 } { 7 } x \right) \right.
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
54
Factor.
x2+45x+425x ^ { 2 } + \frac { 4 } { 5 } x + \frac { 4 } { 25 }

A) (x+45)(x+25)\left( x + \frac { 4 } { 5 } \right) \left( x + \frac { 2 } { 5 } \right)
B) (x+25)(x+25x)\left( x + \frac { 2 } { 5 } \right) \left( x + \frac { 2 } { 5 } x \right)
C) (x2+25)2\left( x ^ { 2 } + \frac { 2 } { 5 } \right) ^ { 2 }
D) (x+25)2\left( x + \frac { 2 } { 5 } \right) ^ { 2 }
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
55
Factor.
5x2−5x−305 x ^ { 2 } - 5 x - 30

A) 5(x−2)(x+3)5 ( x - 2 ) ( x + 3 )
B) (x+2)(5x−15)( x + 2 ) ( 5 x - 15 )
C) (5x+10)(x−3)( 5 x + 10 ) ( x - 3 )
D) 5(x+2)(x−3)5 ( x + 2 ) ( x - 3 )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
56
Factor.
y2−23y+19y ^ { 2 } - \frac { 2 } { 3 } y + \frac { 1 } { 9 }

A) (y+13)2\left( y + \frac { 1 } { 3 } \right) ^ { 2 }
B) Prime
C) y(y−23)y \left( y - \frac { 2 } { 3 } \right)
D) (y−13)2\left( y - \frac { 1 } { 3 } \right) ^ { 2 }
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
57
Factor.
4x2−9x+84 x ^ { 2 } - 9 x + 8

A) (2x−8)(2x−1)( 2 x - 8 ) ( 2 x - 1 )
B) (4x−8)(x−1)( 4 x - 8 ) ( x - 1 )
C) (4x−1)(x−8)( 4 x - 1 ) ( x - 8 )
D) Prime
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
58
Factor.
−42x2−35x+42- 42 x ^ { 2 } - 35 x + 42

A) 7(−3x+2)(2x+3)7 ( - 3 x + 2 ) ( 2 x + 3 )
B) (−21x+14)(2x+3)( - 21 x + 14 ) ( 2 x + 3 )
C) (−3x+2)(14x+21)( - 3 x + 2 ) ( 14 x + 21 )
D) 7(3x+2)(−2x+3)7 ( 3 x + 2 ) ( - 2 x + 3 )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
59
Factor.
15y2+16y+415 y ^ { 2 } + 16 y + 4

A) (3y+2)(5y+2)( 3 y + 2 ) ( 5 y + 2 )
B) Prime
C) (15y+2)(y+2)( 15 y + 2 ) ( y + 2 )
D) (3y−2)(5y−2)( 3 y - 2 ) ( 5 y - 2 )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
60
Factor.
y2+1.6y+0.64y ^ { 2 } + 1.6 y + 0.64

A) (y2+0.8)2\left( y ^ { 2 } + 0.8 \right) ^ { 2 }
B) (y+1.6)2( \mathrm { y } + 1.6 ) ^ { 2 }
C) (y+0.8)2( y + 0.8 ) ^ { 2 }
D) y(y+1y ( y + 1 .6
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
61
Factor.
12x2+13xt+3t212 x ^ { 2 } + 13 x t + 3 t ^ { 2 }

A) (3x−t)(4x−3t)( 3 x - t ) ( 4 x - 3 t )
B) (12x+t)(x+3t)( 12 x + t ) ( x + 3 t )
C) Prime
D) (3x+t)(4x+3t)( 3 x + t ) ( 4 x + 3 t )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
62
Factor.
3a3+6a2−45a3 a ^ { 3 } + 6 a ^ { 2 } - 45 a

A) 3a(a+5)(a+3)3 a ( a + 5 ) ( a + 3 )
B) 3a(a−5)(a+3)3 a ( a - 5 ) ( a + 3 )
C) 3a(a+5)(a−3)3 a ( a + 5 ) ( a - 3 )
D) 3a(a−5)(a−3)3 a ( a - 5 ) ( a - 3 )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
63
Factor.
10z3+11z2−6z10 z ^ { 3 } + 11 z ^ { 2 } - 6 z

A) z(10z+1)(z−6)z ( 10 z + 1 ) ( z - 6 )
B) (2z−3)(5z+2)( 2 z - 3 ) ( 5 z + 2 )
C) z(2z+3)(5z−2)z ( 2 z + 3 ) ( 5 z - 2 )
D) (z2−2)(10z+3)\left( z ^ { 2 } - 2 \right) ( 10 z + 3 )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
64
Factor.
15z4−8z2−1615 z ^ { 4 } - 8 z ^ { 2 } - 16

A) (5z2+4)(3z2−4)\left( 5 z ^ { 2 } + 4 \right) \left( 3 z ^ { 2 } - 4 \right)
B) (5z4+4)(3z−4)\left( 5 z ^ { 4 } + 4 \right) ( 3 z - 4 )
C) (3z4+4)(5z−4)\left( 3 z ^ { 4 } + 4 \right) ( 5 z - 4 )
D) (3z2+4)(5z2−4)\left( 3 z ^ { 2 } + 4 \right) \left( 5 z ^ { 2 } - 4 \right)
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
65
Factor.
80z8+108z5+36z280 z ^ { 8 } + 108 z ^ { 5 } + 36 z ^ { 2 }

A) 4z2(5z3−3)(4z3−3)4 z ^ { 2 } \left( 5 z ^ { 3 } - 3 \right) \left( 4 z ^ { 3 } - 3 \right)
B) (4z4+4)(5z4+3)\left( 4 z ^ { 4 } + 4 \right) \left( 5 z ^ { 4 } + 3 \right)
C) 4z2(4z3+3)(5z3+3)4 z ^ { 2 } \left( 4 z ^ { 3 } + 3 \right) \left( 5 z ^ { 3 } + 3 \right)
D) 4(4z6+3)(5z2+3)4 \left( 4 z ^ { 6 } + 3 \right) \left( 5 z ^ { 2 } + 3 \right)
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
66
Factor.
3x5−21x4+36x33 x ^ { 5 } - 21 x ^ { 4 } + 36 x ^ { 3 }

A) 3x3(x−3)(x+4)3 x ^ { 3 } ( x - 3 ) ( x + 4 )
B) 3x3(x+3)(x−4)3 x ^ { 3 } ( x + 3 ) ( x - 4 )
C) 3x3(x−3)(x−4)3 x ^ { 3 } ( x - 3 ) ( x - 4 )
D) 3x3(x+3)(x+4)3 x ^ { 3 } ( x + 3 ) ( x + 4 )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
67
Factor.
84x2+49xy+7y284 x ^ { 2 } + 49 x y + 7 y ^ { 2 }

A) (21x+7y)(4x+y)( 21 x + 7 y ) ( 4 x + y )
B) 7(3x+y)(4x+y)7 ( 3 x + y ) ( 4 x + y )
C) 7(3x−y)(4x−y)7 ( 3 x - y ) ( 4 x - y )
D) (3x+y)(7x+3y)( 3 x + y ) ( 7 x + 3 y )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
68
Factor.
12x2−25xy+12y212 x ^ { 2 } - 25 x y + 12 y ^ { 2 }

A) (12x+4y)(x+3y)( 12 x + 4 y ) ( x + 3 y )
B) (3x−4y)(4x−3y)( 3 x - 4 y ) ( 4 x - 3 y )
C) (3x+4y)(4x−3y)( 3 x + 4 y ) ( 4 x - 3 y )
D) (3x+4y)(4x+3y)( 3 x + 4 y ) ( 4 x + 3 y )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
69
Factor.
12x2+25xy+12y212 x ^ { 2 } + 25 x y + 12 y ^ { 2 }

A) (12x+y)(x+12y)( 12 x + y ) ( x + 12 y )
B) (3x−4y)(4x−3y)( 3 x - 4 y ) ( 4 x - 3 y )
C) (3x+4y)(4x+3y)( 3 x + 4 y ) ( 4 x + 3 y )
D) (12x+4y)(x+3y)( 12 x + 4 y ) ( x + 3 y )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
70
Factor.
7x2−21xy−28y27 x ^ { 2 } - 21 x y - 28 y ^ { 2 }

A) (7x−7y)(x+4y)( 7 x - 7 y ) ( x + 4 y )
B) (x−y)(7x+21y)( x - y ) ( 7 x + 21 y )
C) 7(x−y)(x+4y)7 ( x - y ) ( x + 4 y )
D) 7(x+y)(x−4y)7 ( x + y ) ( x - 4 y )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
71
Factor by grouping.
s2+4s+9s+36s ^ { 2 } + 4 s + 9 s + 36

A) (s+4)(s−9)( \mathrm { s } + 4 ) ( \mathrm { s } - 9 )
B) s(s+49)s ( s + 49 )
C) (s−4)(s−9)( s - 4 ) ( s - 9 )
D) (s+4)(s+9)( s + 4 ) ( s + 9 )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
72
Factor.
8x2−24xy−32y28 x ^ { 2 } - 24 x y - 32 y ^ { 2 }

A) 8(x−y)(x+4y)8 ( x - y ) ( x + 4 y )
B) (8x−8y)(x+4y)( 8 x - 8 y ) ( x + 4 y )
C) (x−y)(8x+24y)( x - y ) ( 8 x + 24 y )
D) 8(x+y)(x−4y)8 ( x + y ) ( x - 4 y )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
73
Factor.
12z6+38z4+20z212 z ^ { 6 } + 38 z ^ { 4 } + 20 z ^ { 2 }

A) 2z2(3z2−2)(2z2−5)2 z ^ { 2 } \left( 3 z ^ { 2 } - 2 \right) \left( 2 z ^ { 2 } - 5 \right)
B) 2(2z4+5)(3z2+2)2 \left( 2 z ^ { 4 } + 5 \right) \left( 3 z ^ { 2 } + 2 \right)
C) (4z3+10)(3z3+2)\left( 4 z ^ { 3 } + 10 \right) \left( 3 z ^ { 3 } + 2 \right)
D) 2z2(2z2+5)(3z2+2)2 z ^ { 2 } \left( 2 z ^ { 2 } + 5 \right) \left( 3 z ^ { 2 } + 2 \right)
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
74
Factor.
12z2+7zy−12y212 z ^ { 2 } + 7 z y - 12 y ^ { 2 }

A) (12z−3y)(z+4y)( 12 z - 3 y ) ( z + 4 y )
B) (4z+3y)(3z−4y)( 4 z + 3 y ) ( 3 z - 4 y )
C) (12z+y)(z−12y)( 12 z + y ) ( z - 12 y )
D) (4z−3y)(3z+4y)( 4 z - 3 y ) ( 3 z + 4 y )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
75
Factor.
245x2+350xy+125y2245 x ^ { 2 } + 350 x y + 125 y ^ { 2 }

A) 5(49x2+70xy+25y)5 \left( 49 x ^ { 2 } + 70 x y + 25 y \right)
B) 5(7x−5y)(7x+5y)5 ( 7 x - 5 y ) ( 7 x + 5 y )
C) (35x+25y)(7x+5y)( 35 x + 25 y ) ( 7 x + 5 y )
D) 5(7x+5y)25 ( 7 x + 5 y ) ^ { 2 }
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
76
Factor.
10x3+19x2+6x10 x ^ { 3 } + 19 x ^ { 2 } + 6 x

A) x(10x+1)(x+6)x ( 10 x + 1 ) ( x + 6 )
B) (10x2+3)(x+2)\left( 10 x ^ { 2 } + 3 \right) ( x + 2 )
C) x(2x+3)(5x+2)x ( 2 x + 3 ) ( 5 x + 2 )
D) x(2x−3)(5x−2)x ( 2 x - 3 ) ( 5 x - 2 )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
77
Factor.
6x3−26x2−20x6 x ^ { 3 } - 26 x ^ { 2 } - 20 x

A) 2x(3x+2)(x−5)2 x ( 3 x + 2 ) ( x - 5 )
B) x(3x+2)(2x−10)x ( 3 x + 2 ) ( 2 x - 10 )
C) (x2−5)(6x+4)\left( x ^ { 2 } - 5 \right) ( 6 x + 4 )
D) 2(3x−2)(x+5)2 ( 3 x - 2 ) ( x + 5 )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
78
Factor.
9x4−18x3+8x29 x ^ { 4 } - 18 x ^ { 3 } + 8 x ^ { 2 }

A) (9x2+2)(x2+4)\left( 9 x ^ { 2 } + 2 \right) \left( x ^ { 2 } + 4 \right)
B) x(3x+2)(3x+4)x ( 3 x + 2 ) ( 3 x + 4 )
C) x2(9x−1)(x−8)x ^ { 2 } ( 9 x - 1 ) ( x - 8 )
D) x2(3x−2)(3x−4)x ^ { 2 } ( 3 x - 2 ) ( 3 x - 4 )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
79
Factor.
3x3+3x2−60x3 x ^ { 3 } + 3 x ^ { 2 } - 60 x

A) (3x2+12x)(x−5)\left( 3 x ^ { 2 } + 12 x \right) ( x - 5 )
B) 3x(x+4)(x−5)3 x ( x + 4 ) ( x - 5 )
C) (x−4)(3x2+15)( x - 4 ) \left( 3 x ^ { 2 } + 15 \right)
D) 3x(x−4)(x+5)3 x ( x - 4 ) ( x + 5 )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
80
Factor.
16x2−24xt+9t216 x ^ { 2 } - 24 x t + 9 t ^ { 2 }

A) (4x+3t)(4x+3t)( 4 x + 3 t ) ( 4 x + 3 t )
В) (16x−3t)(x−3t)( 16 x - 3 t ) ( x - 3 t )
C) Prime
D) (4x−3t)(4x−3t)( 4 x - 3 t ) ( 4 x - 3 t )
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Unlock Deck
k this deck
locked card icon
Unlock Deck
Unlock for access to all 154 flashcards in this deck.
Examlex
Examlex
Work With Us
Policies
Download the App
Scan to downloadDownload the App
qr-code
Links
Links
Work With Us
Download the App

Scan to downloadDownload the App
qr-code

Copyright © 2026 Examlex LLC.
  • facebook-footer
  • instagram-footer
  • x-footer
  • tiktok
  • Linktree