Question 1

Find the product. $( x - 6 ) ( 3 x + 2 )$

Accepted Answer

A)  $3 x ^ { 2 } - 6 x - 12$ 
B)  $3 x ^ { 2 } - 2 x - 12$ 
C)  $3 x ^ { 2 } - 12$ 
D)  $3 x ^ { 2 } - 32 x - 12$ 
E)  $3 x ^ { 2 } - 16 x - 12$ 
A)  $3 x ^ { 2 } - 6 x - 12$ 
B)  $3 x ^ { 2 } - 2 x - 12$ 
C)  $3 x ^ { 2 } - 12$ 
D)  $3 x ^ { 2 } - 32 x - 12$ 
E)  $3 x ^ { 2 } - 16 x - 12$

Question 2

Factor completely. $8 x ^ { 2 } + 5 x - 22$

Accepted Answer

A)  $( 8 x + 11 ) ( x - 1 )$ 
B)  $( 8 x - 11 ) ( x - 2 )$ 
C)  $( 8 x - 11 ) ( x + 2 )$ 
D)  $( 8 x - 22 ) ( x + 1 )$ 
E)  $( 8 x - 11 ) ( 8 x + 2 )$ 
A)  $( 8 x + 11 ) ( x - 1 )$ 
B)  $( 8 x - 11 ) ( x - 2 )$ 
C)  $( 8 x - 11 ) ( x + 2 )$ 
D)  $( 8 x - 22 ) ( x + 1 )$ 
E)  $( 8 x - 11 ) ( 8 x + 2 )$

Question 3

Find the product. $( 2 x + 8 ) ( 4 x - 5 )$

Accepted Answer

A)  $8 x ^ { 2 } + 44 x - 40$ 
B)  $8 x ^ { 2 } + 22 x - 40$ 
C)  $8 x ^ { 2 } - 40$ 
D)  $8 x ^ { 2 } + 5 x - 40$ 
E)  $8 x ^ { 2 } + 8 x - 40$ 
A)  $8 x ^ { 2 } + 44 x - 40$ 
B)  $8 x ^ { 2 } + 22 x - 40$ 
C)  $8 x ^ { 2 } - 40$ 
D)  $8 x ^ { 2 } + 5 x - 40$ 
E)  $8 x ^ { 2 } + 8 x - 40$

Question 4

Factor. $72 a x - 18 a$

Accepted Answer

A)  $18 ( 4 x - 1 )$ 
B)  $18 ( 4 a x - 1 )$ 
C)  $18 ( 4 a x - a )$ 
D)  $18 a ( 4 x - 1 )$ 
E)  $a ( 4 x - 1 )$ 
A)  $18 ( 4 x - 1 )$ 
B)  $18 ( 4 a x - 1 )$ 
C)  $18 ( 4 a x - a )$ 
D)  $18 a ( 4 x - 1 )$ 
E)  $a ( 4 x - 1 )$

Question 5

Factor the trinomial completely. $6 a ^ { 2 } - 36 a - 162$

Accepted Answer

A)  $( 6 a - 54 ) ( a + 3 )$ 
B)  $6 ( a - 9 ) ( a + 3 )$ 
C)  $6 ( a + 9 ) ( a - 3 )$ 
D)  $( 6 a - 18 ) ( a + 9 )$ 
E)  not factorable 
A)  $( 6 a - 54 ) ( a + 3 )$ 
B)  $6 ( a - 9 ) ( a + 3 )$ 
C)  $6 ( a + 9 ) ( a - 3 )$ 
D)  $( 6 a - 18 ) ( a + 9 )$ 
E)  not factorable

Question 6

Factor completely. Check by multiplying the factors. $49 x ^ { 2 } - 25$

Accepted Answer

A)  $( 7 x + 5 ) ( 7 x + 5 )$ 
B)  $( 7 x - 5 ) ( 7 x + 5 )$ 
C)  $( x - 5 ) ( 49 x + 5 )$ 
D)  $( 7 x - 25 ) ( 7 x + 1 )$ 
E)  $( 49 x - 5 ) ( x + 5 )$ 
A)  $( 7 x + 5 ) ( 7 x + 5 )$ 
B)  $( 7 x - 5 ) ( 7 x + 5 )$ 
C)  $( x - 5 ) ( 49 x + 5 )$ 
D)  $( 7 x - 25 ) ( 7 x + 1 )$ 
E)  $( 49 x - 5 ) ( x + 5 )$

Question 7

Factor. $15 x y - 5 x ^ { 2 } y ^ { 2 }$

Accepted Answer

The answer of Factor. \(15 x y - 5 x...

Question 8

Factor the trinomial completely. $6 a ^ { 2 } - 12 a - 90$

Accepted Answer

The answer of Factor the trinomial completely. \(6 a ^...

Question 9

Factor completely. $4 x ^ { 2 } - 8 x - 5$

Accepted Answer

The answer of Factor completely. \(4 x ^ { 2...

Question 10

Find the product. $( 10 x + 8 ) ( 12 x - 4 )$

Accepted Answer

A)  $120 x ^ { 2 } + 112 x - 32$ 
B)  $120 x ^ { 2 } - 32$ 
C)  $120 x ^ { 2 } + 56 x - 32$ 
D)  $120 x ^ { 2 } + 8 x - 32$ 
E)  $120 x ^ { 2 } + 4 x - 32$ 
A)  $120 x ^ { 2 } + 112 x - 32$ 
B)  $120 x ^ { 2 } - 32$ 
C)  $120 x ^ { 2 } + 56 x - 32$ 
D)  $120 x ^ { 2 } + 8 x - 32$ 
E)  $120 x ^ { 2 } + 4 x - 32$

Question 11

Find the product. $( x + 4 ) ^ { 2 }$

Accepted Answer

The answer of Find the product. \(( x + 4...

Question 12

Factor. $\mathrm { wx } + \mathrm { wy }$

Accepted Answer

A)  $\mathrm { w } ( \mathrm { w } x + y )$ 
B)  $\mathrm { w } ( \mathrm { w } x + y )$ 
C)  $( x + y )$ 
D)  $\mathrm { w } ( x + y )$ 
E)  $\mathrm { w } ( \mathrm { w } x + \mathrm { w } y )$ 
A)  $\mathrm { w } ( \mathrm { w } x + y )$ 
B)  $\mathrm { w } ( \mathrm { w } x + y )$ 
C)  $( x + y )$ 
D)  $\mathrm { w } ( x + y )$ 
E)  $\mathrm { w } ( \mathrm { w } x + \mathrm { w } y )$

Question 13

Factor. $14 x ^ { 2 } y z ^ { 4 } - 16 x ^ { 3 } y ^ { 2 } z ^ { 2 } + 18 x ^ { 2 } y ^ { 3 } z ^ { 2 }$

Accepted Answer

The answer of Factor. \(14 x ^ { 2 }...

Question 14

Find the product. $( 60 + 5 )$ $( 60 - 5 )$

Accepted Answer

A)  3,565 
B)  3,590 
C)  3,580 
D)  3,575 
E)  7,150 
A)  3,565 
B)  3,590 
C)  3,580 
D)  3,575 
E)  7,150

Question 15

Factor completely. $2 y ^ { 4 } - 5 y ^ { 2 } - 33$

Accepted Answer

A)  $\left( 2 y ^ { 2 } - 11 \right) \left( y ^ { 2 } + 3 \right)$ 
B)  $\left( 2 y ^ { 2 } + 11 \right) \left( y ^ { 2 } - 3 \right)$ 
C)  $( 2 y + 11 ) \left( y ^ { 2 } - 3 \right)$ 
D)  $\left( 2 y ^ { 2 } + 1 \right) \left( y ^ { 2 } - 33 \right)$ 
E)  $\left( 2 y ^ { 2 } + 3 \right) \left( y ^ { 2 } - 11 \right)$ 
A)  $\left( 2 y ^ { 2 } - 11 \right) \left( y ^ { 2 } + 3 \right)$ 
B)  $\left( 2 y ^ { 2 } + 11 \right) \left( y ^ { 2 } - 3 \right)$ 
C)  $( 2 y + 11 ) \left( y ^ { 2 } - 3 \right)$ 
D)  $\left( 2 y ^ { 2 } + 1 \right) \left( y ^ { 2 } - 33 \right)$ 
E)  $\left( 2 y ^ { 2 } + 3 \right) \left( y ^ { 2 } - 11 \right)$

Question 16

Factor the trinomial completely. $6 a ^ { 2 } - 6 a - 120$

Accepted Answer

A)  $6 ( a + 5 ) ( a - 4 )$ 
B)  $( 6 a + 5 ) ( a - 24 )$ 
C)  $( 6 a - 30 ) ( a + 4 )$ 
D)  $6 ( a - 5 ) ( a + 4 )$ 
E)  not factorable 
A)  $6 ( a + 5 ) ( a - 4 )$ 
B)  $( 6 a + 5 ) ( a - 24 )$ 
C)  $( 6 a - 30 ) ( a + 4 )$ 
D)  $6 ( a - 5 ) ( a + 4 )$ 
E)  not factorable

Question 17

Find the product. $\left( y ^ { 3 } - 8 \right) ^ { 2 }$

Accepted Answer

A)  $y ^ { 6 } - 16 y ^ { 3 } + 64$ 
B)  $2 y ^ { 3 } - 16$ 
C)  $y ^ { 6 } + 16 y ^ { 3 } + 64$ 
D)  $y ^ { 6 } - 64$ 
E)  $y ^ { 6 } + 64$ 
A)  $y ^ { 6 } - 16 y ^ { 3 } + 64$ 
B)  $2 y ^ { 3 } - 16$ 
C)  $y ^ { 6 } + 16 y ^ { 3 } + 64$ 
D)  $y ^ { 6 } - 64$ 
E)  $y ^ { 6 } + 64$

Question 18

Factor completely. $35 b ^ { 2 } - 13 b - 4$

Accepted Answer

A)  $( 5 b - 1 ) ( 7 b - 4 )$ 
B)  $( 35 b + 1 ) ( b - 4 )$ 
C)  $( b + 1 ) ( 35 b - 4 )$ 
D)  $( 5 b + 1 ) ( 7 b - 4 )$ 
E)  $( 5 b - 1 ) ( 7 b + 4 )$ 
A)  $( 5 b - 1 ) ( 7 b - 4 )$ 
B)  $( 35 b + 1 ) ( b - 4 )$ 
C)  $( b + 1 ) ( 35 b - 4 )$ 
D)  $( 5 b + 1 ) ( 7 b - 4 )$ 
E)  $( 5 b - 1 ) ( 7 b + 4 )$

Question 19

Factor the trinomial completely. $c ^ { 2 } + 21 c + 108$

Accepted Answer

The answer of Factor the trinomial completely. \(c ^ {...

Question 20

Find the product. $( m - 3 )$   $( m - 3 )$

Accepted Answer

A)  $m ^ { 2 } - 6 m - 9$ 
B)  $m ^ { 2 } - 9$ 
C)  $m ^ { 2 } + 9$ 
D)  $m ^ { 2 } + 6 m - 9$ 
E)  $m ^ { 2 } - 6 m + 9$ 
A)  $m ^ { 2 } - 6 m - 9$ 
B)  $m ^ { 2 } - 9$ 
C)  $m ^ { 2 } + 9$ 
D)  $m ^ { 2 } + 6 m - 9$ 
E)  $m ^ { 2 } - 6 m + 9$

Find the product. $( x - 6 ) ( 3 x + 2 )$

Factor completely. $8 x ^ { 2 } + 5 x - 22$

Find the product. $( 2 x + 8 ) ( 4 x - 5 )$

Factor. $72 a x - 18 a$

Factor the trinomial completely. $6 a ^ { 2 } - 36 a - 162$

Factor completely. Check by multiplying the factors. $49 x ^ { 2 } - 25$

Factor. $15 x y - 5 x ^ { 2 } y ^ { 2 }$

Factor the trinomial completely. $6 a ^ { 2 } - 12 a - 90$

Factor completely. $4 x ^ { 2 } - 8 x - 5$

Find the product. $( 10 x + 8 ) ( 12 x - 4 )$

Find the product. $( x + 4 ) ^ { 2 }$

Factor. $\mathrm { wx } + \mathrm { wy }$

Factor. $14 x ^ { 2 } y z ^ { 4 } - 16 x ^ { 3 } y ^ { 2 } z ^ { 2 } + 18 x ^ { 2 } y ^ { 3 } z ^ { 2 }$

Find the product. $( 60 + 5 )$ $( 60 - 5 )$

Factor completely. $2 y ^ { 4 } - 5 y ^ { 2 } - 33$

Factor the trinomial completely. $6 a ^ { 2 } - 6 a - 120$

Find the product. $\left( y ^ { 3 } - 8 \right) ^ { 2 }$

Factor completely. $35 b ^ { 2 } - 13 b - 4$

Factor the trinomial completely. $c ^ { 2 } + 21 c + 108$

Find the product. $( m - 3 )$ $( m - 3 )$

Basic Concepts

Signed Numbers and Powers of 10

The Metric System

Measurement

Polynomials: an Introduction to Algebra

Equations and Formulas

Ratio and Proportion

Graphing Linear Equations

Systems of Linear Equations

Quadratic Equations

Geometry

Right Triangle Trigonometry

Trigonometry With Any Angle

Basic Statistics

Binary and Hexadecimal Numbers

Filters

Exam 10: Factoring Algebraic Expressions

Find the product. (x−6)(3x+2)( x - 6 ) ( 3 x + 2 )(x−6)(3x+2)

Factor completely. 8x2+5x−228 x ^ { 2 } + 5 x - 228x2+5x−22

Find the product. (2x+8)(4x−5)( 2 x + 8 ) ( 4 x - 5 )(2x+8)(4x−5)

Factor. 72ax−18a72 a x - 18 a72ax−18a

Factor the trinomial completely. 6a2−36a−1626 a ^ { 2 } - 36 a - 1626a2−36a−162

Factor completely. Check by multiplying the factors. 49x2−2549 x ^ { 2 } - 2549x2−25

Factor. 15xy−5x2y215 x y - 5 x ^ { 2 } y ^ { 2 }15xy−5x2y2

Factor the trinomial completely. 6a2−12a−906 a ^ { 2 } - 12 a - 906a2−12a−90

Factor completely. 4x2−8x−54 x ^ { 2 } - 8 x - 54x2−8x−5

Find the product. (10x+8)(12x−4)( 10 x + 8 ) ( 12 x - 4 )(10x+8)(12x−4)

Find the product. (x+4)2( x + 4 ) ^ { 2 }(x+4)2

Factor. wx+wy\mathrm { wx } + \mathrm { wy }wx+wy

Factor. 14x2yz4−16x3y2z2+18x2y3z214 x ^ { 2 } y z ^ { 4 } - 16 x ^ { 3 } y ^ { 2 } z ^ { 2 } + 18 x ^ { 2 } y ^ { 3 } z ^ { 2 }14x2yz4−16x3y2z2+18x2y3z2

Find the product. (60+5)( 60 + 5 )(60+5) (60−5)( 60 - 5 )(60−5)

Factor completely. 2y4−5y2−332 y ^ { 4 } - 5 y ^ { 2 } - 332y4−5y2−33

Factor the trinomial completely. 6a2−6a−1206 a ^ { 2 } - 6 a - 1206a2−6a−120

Find the product. (y3−8)2\left( y ^ { 3 } - 8 \right) ^ { 2 }(y3−8)2

Factor completely. 35b2−13b−435 b ^ { 2 } - 13 b - 435b2−13b−4

Factor the trinomial completely. c2+21c+108c ^ { 2 } + 21 c + 108c2+21c+108

Find the product. (m−3)( m - 3 )(m−3) (m−3)( m - 3 )(m−3)

Basic Concepts

Signed Numbers and Powers of 10

The Metric System

Measurement

Polynomials: an Introduction to Algebra

Equations and Formulas

Ratio and Proportion

Graphing Linear Equations

Systems of Linear Equations

Quadratic Equations

Geometry

Right Triangle Trigonometry

Trigonometry With Any Angle

Basic Statistics

Binary and Hexadecimal Numbers

Filters

Find the product. $( x - 6 ) ( 3 x + 2 )$

Factor completely. $8 x ^ { 2 } + 5 x - 22$

Find the product. $( 2 x + 8 ) ( 4 x - 5 )$

Factor. $72 a x - 18 a$

Factor the trinomial completely. $6 a ^ { 2 } - 36 a - 162$

Factor completely. Check by multiplying the factors. $49 x ^ { 2 } - 25$

Factor. $15 x y - 5 x ^ { 2 } y ^ { 2 }$

Factor the trinomial completely. $6 a ^ { 2 } - 12 a - 90$

Factor completely. $4 x ^ { 2 } - 8 x - 5$

Find the product. $( 10 x + 8 ) ( 12 x - 4 )$

Find the product. $( x + 4 ) ^ { 2 }$

Factor. $\mathrm { wx } + \mathrm { wy }$

Factor. $14 x ^ { 2 } y z ^ { 4 } - 16 x ^ { 3 } y ^ { 2 } z ^ { 2 } + 18 x ^ { 2 } y ^ { 3 } z ^ { 2 }$

Find the product. $( 60 + 5 )$ $( 60 - 5 )$

Factor completely. $2 y ^ { 4 } - 5 y ^ { 2 } - 33$

Factor the trinomial completely. $6 a ^ { 2 } - 6 a - 120$

Find the product. $\left( y ^ { 3 } - 8 \right) ^ { 2 }$

Factor completely. $35 b ^ { 2 } - 13 b - 4$

Factor the trinomial completely. $c ^ { 2 } + 21 c + 108$

Find the product. $( m - 3 )$ $( m - 3 )$