Question 1

Factor completely. Check by multiplying the factors. $- 3 y ^ { 2 } + 18 y - 27$

Accepted Answer

The answer of Factor completely. Check by multiplying the factors....

Question 2

Factor completely. Check by multiplying the factors. $36 - x ^ { 2 }$

Accepted Answer

The answer of Factor completely. Check by multiplying the factors....

Question 3

Find the product. $\left( \frac { 1 } { 2 } x - 4 \right) \left( \frac { 1 } { 4 } x - 2 \right)$

Accepted Answer

A)  $\frac { 1 } { 8 } x ^ { 2 } + 2 x + 8$ 
B)  $\frac { 1 } { 8 } x ^ { 2 } - 8 x + 8$ 
C)  $\frac { 1 } { 8 } x ^ { 2 } - 2 x + 8$ 
D)  $\frac { 1 } { 8 } x ^ { 2 } + 8$ 
E)  $\frac { 3 } { 8 } x ^ { 2 } - 4 x + 8$ 
A)  $\frac { 1 } { 8 } x ^ { 2 } + 2 x + 8$ 
B)  $\frac { 1 } { 8 } x ^ { 2 } - 8 x + 8$ 
C)  $\frac { 1 } { 8 } x ^ { 2 } - 2 x + 8$ 
D)  $\frac { 1 } { 8 } x ^ { 2 } + 8$ 
E)  $\frac { 3 } { 8 } x ^ { 2 } - 4 x + 8$

Question 4

Factor the trinomial completely. $c ^ { 2 } + 7 c - 18$

Accepted Answer

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

Question 5

Factor. $42 x ^ { 3 } y - 49 x ^ { 4 } y + 28 x y$

Accepted Answer

The answer of Factor. \(42 x ^ { 3 }...

Question 6

Factor. $3 y - 6$

Accepted Answer

The answer of Factor. $3 y - 6$...

Question 7

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

Accepted Answer

A)  $10 x ^ { 2 } - 12 x - 16$ 
B)  $10 x ^ { 2 } - 8 x - 16$ 
C)  $10 x ^ { 2 } - 2 x - 16$ 
D)  $10 x ^ { 2 } - 6 x - 16$ 
E)  $10 x ^ { 2 } - 16$ 
A)  $10 x ^ { 2 } - 12 x - 16$ 
B)  $10 x ^ { 2 } - 8 x - 16$ 
C)  $10 x ^ { 2 } - 2 x - 16$ 
D)  $10 x ^ { 2 } - 6 x - 16$ 
E)  $10 x ^ { 2 } - 16$

Question 8

Factor completely. $6 a ^ { 2 } - 37 a - 35$

Accepted Answer

A)  $( 6 a + 1 ) ( a - 35 )$ 
B)  $( 6 a + 5 ) ( a - 7 )$ 
C)  $( 6 a - 5 ) ( a + 7 )$ 
D)  $( 6 a + 35 ) ( a - 1 )$ 
E)  Not factorable 
A)  $( 6 a + 1 ) ( a - 35 )$ 
B)  $( 6 a + 5 ) ( a - 7 )$ 
C)  $( 6 a - 5 ) ( a + 7 )$ 
D)  $( 6 a + 35 ) ( a - 1 )$ 
E)  Not factorable

Question 9

Factor the trinomial completely. $a ^ { 2 } + 11 a + 24$

Accepted Answer

A)  $( a + 3 ) ( a - 8 )$ 
B)  $( a - 3 ) ( a - 8 )$ 
C)  $( a + 3 ) ( a + 8 )$ 
D)  $( a - 3 ) ( a + 8 )$ 
E)  not factorable 
A)  $( a + 3 ) ( a - 8 )$ 
B)  $( a - 3 ) ( a - 8 )$ 
C)  $( a + 3 ) ( a + 8 )$ 
D)  $( a - 3 ) ( a + 8 )$ 
E)  not factorable

Question 10

Factor completely. $32 m ^ { 2 } - 28 m - 9$

Accepted Answer

A)  $( m + 1 ) ( 32 m - 9 )$ 
B)  $( 4 m + 1 ) ( 8 m - 9 )$ 
C)  $( 4 m + 1 ) ( 8 m + 9 )$ 
D)  $( 32 m + 1 ) ( m - 9 )$ 
E)  $( 4 m - 1 ) ( 8 m + 9 )$ 
A)  $( m + 1 ) ( 32 m - 9 )$ 
B)  $( 4 m + 1 ) ( 8 m - 9 )$ 
C)  $( 4 m + 1 ) ( 8 m + 9 )$ 
D)  $( 32 m + 1 ) ( m - 9 )$ 
E)  $( 4 m - 1 ) ( 8 m + 9 )$

Question 11

Factor. $135 m ^ { 2 } n ^ { 2 } - 15 m n$

Accepted Answer

The answer of Factor. \(135 m ^ { 2 }...

Question 12

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

Accepted Answer

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

Question 13

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

Accepted Answer

The answer of Find the product. \(( x - 2...

Question 14

Find the product. $( 2 x + 1 ) ( 3 x + 2 )$

Accepted Answer

A)  $6 x ^ { 2 } + 14 x + 2$ 
B)  $6 x ^ { 2 } + 1 x + 2$ 
C)  $6 x ^ { 2 } + 7 x + 2$ 
D)  $6 x ^ { 2 } + 2$ 
E)  $6 x ^ { 2 } + 2 x + 2$ 
A)  $6 x ^ { 2 } + 14 x + 2$ 
B)  $6 x ^ { 2 } + 1 x + 2$ 
C)  $6 x ^ { 2 } + 7 x + 2$ 
D)  $6 x ^ { 2 } + 2$ 
E)  $6 x ^ { 2 } + 2 x + 2$

Question 15

Factor the trinomial completely. $b ^ { 2 } + b - 56$

Accepted Answer

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

Question 16

Factor completely. $20 x ^ { 2 } - 23 x + 6$

Accepted Answer

The answer of Factor completely. \(20 x ^ { 2...

Question 17

Factor completely. Check by multiplying the factors. $49 x ^ { 2 } - 100 y ^ { 2 }$

Accepted Answer

A)  $( 7 x - 10 y ) ( 7 x - 10 y )$ 
B)  $( 7 x - 100 y ) ( 7 x + 1 y )$ 
C)  $( 7 x + 10 y ) ( 7 x + 10 y )$ 
D)  $( 49 x - 10 y ) ( 1 x + 10 y )$ 
E)  $( 7 x - 10 y ) ( 7 x + 10 y )$ 
A)  $( 7 x - 10 y ) ( 7 x - 10 y )$ 
B)  $( 7 x - 100 y ) ( 7 x + 1 y )$ 
C)  $( 7 x + 10 y ) ( 7 x + 10 y )$ 
D)  $( 49 x - 10 y ) ( 1 x + 10 y )$ 
E)  $( 7 x - 10 y ) ( 7 x + 10 y )$

Question 18

Factor completely. Check by multiplying the factors. $16 x ^ { 2 } - 24 x + 9$

Accepted Answer

A)  $( 4 x + 3 ) ( 4 x + 3 )$ 
B)  $( 4 x - 3 ) ( 4 x - 3 )$ 
C)  $( 3 x - 3 ) ( 4 x - 4 )$ 
D)  $( 3 x - 4 ) ( 3 x - 4 )$ 
E)  $( x - 3 ) ( 16 x - 3 )$ 
A)  $( 4 x + 3 ) ( 4 x + 3 )$ 
B)  $( 4 x - 3 ) ( 4 x - 3 )$ 
C)  $( 3 x - 3 ) ( 4 x - 4 )$ 
D)  $( 3 x - 4 ) ( 3 x - 4 )$ 
E)  $( x - 3 ) ( 16 x - 3 )$

Question 19

Factor the trinomial completely. $c ^ { 2 } + 11 c - 12$

Accepted Answer

A)  $( c + 1 ) ( c + 12 )$ 
B)  $( c + 1 ) ( c - 12 )$ 
C)  $( c - 1 ) ( c - 12 )$ 
D)  $( c - 1 ) ( c + 12 )$ 
E)  not factorable 
A)  $( c + 1 ) ( c + 12 )$ 
B)  $( c + 1 ) ( c - 12 )$ 
C)  $( c - 1 ) ( c - 12 )$ 
D)  $( c - 1 ) ( c + 12 )$ 
E)  not factorable

Question 20

Factor the trinomial completely. $m ^ { 2 } - 10 m + 16$

Accepted Answer

A)  $( m + 2 ) ( m - 8 )$ 
B)  $( m + 2 ) ( m + 8 )$ 
C)  $( m - 2 ) ( m + 8 )$ 
D)  $( m - 2 ) ( m - 8 )$ 
E)  not factorable 
A)  $( m + 2 ) ( m - 8 )$ 
B)  $( m + 2 ) ( m + 8 )$ 
C)  $( m - 2 ) ( m + 8 )$ 
D)  $( m - 2 ) ( m - 8 )$ 
E)  not factorable

Factor completely. Check by multiplying the factors. $- 3 y ^ { 2 } + 18 y - 27$

Factor completely. Check by multiplying the factors. $36 - x ^ { 2 }$

Find the product. $\left( \frac { 1 } { 2 } x - 4 \right) \left( \frac { 1 } { 4 } x - 2 \right)$

Factor the trinomial completely. $c ^ { 2 } + 7 c - 18$

Factor. $42 x ^ { 3 } y - 49 x ^ { 4 } y + 28 x y$

Factor. $3 y - 6$

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

Factor completely. $6 a ^ { 2 } - 37 a - 35$

Factor the trinomial completely. $a ^ { 2 } + 11 a + 24$

Factor completely. $32 m ^ { 2 } - 28 m - 9$

Factor. $135 m ^ { 2 } n ^ { 2 } - 15 m n$

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

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

Find the product. $( 2 x + 1 ) ( 3 x + 2 )$

Factor the trinomial completely. $b ^ { 2 } + b - 56$

Factor completely. $20 x ^ { 2 } - 23 x + 6$

Factor completely. Check by multiplying the factors. $49 x ^ { 2 } - 100 y ^ { 2 }$

Factor completely. Check by multiplying the factors. $16 x ^ { 2 } - 24 x + 9$

Factor the trinomial completely. $c ^ { 2 } + 11 c - 12$

Factor the trinomial completely. $m ^ { 2 } - 10 m + 16$

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

Factor completely. Check by multiplying the factors. −3y2+18y−27- 3 y ^ { 2 } + 18 y - 27−3y2+18y−27

Factor completely. Check by multiplying the factors. 36−x236 - x ^ { 2 }36−x2

Find the product. (12x−4)(14x−2)\left( \frac { 1 } { 2 } x - 4 \right) \left( \frac { 1 } { 4 } x - 2 \right)(21​x−4)(41​x−2)

Factor the trinomial completely. c2+7c−18c ^ { 2 } + 7 c - 18c2+7c−18

Factor. 42x3y−49x4y+28xy42 x ^ { 3 } y - 49 x ^ { 4 } y + 28 x y42x3y−49x4y+28xy

Factor. 3y−63 y - 63y−6

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

Factor completely. 6a2−37a−356 a ^ { 2 } - 37 a - 356a2−37a−35

Factor the trinomial completely. a2+11a+24a ^ { 2 } + 11 a + 24a2+11a+24

Factor completely. 32m2−28m−932 m ^ { 2 } - 28 m - 932m2−28m−9

Factor. 135m2n2−15mn135 m ^ { 2 } n ^ { 2 } - 15 m n135m2n2−15mn

Find the product. (x3+8)\left( x ^ { 3 } + 8 \right)(x3+8) (x3−8)\left( x ^ { 3 } - 8 \right)(x3−8)

Find the product. (x−2)2( x - 2 ) ^ { 2 }(x−2)2

Find the product. (2x+1)(3x+2)( 2 x + 1 ) ( 3 x + 2 )(2x+1)(3x+2)

Factor the trinomial completely. b2+b−56b ^ { 2 } + b - 56b2+b−56

Factor completely. 20x2−23x+620 x ^ { 2 } - 23 x + 620x2−23x+6

Factor completely. Check by multiplying the factors. 49x2−100y249 x ^ { 2 } - 100 y ^ { 2 }49x2−100y2

Factor completely. Check by multiplying the factors. 16x2−24x+916 x ^ { 2 } - 24 x + 916x2−24x+9

Factor the trinomial completely. c2+11c−12c ^ { 2 } + 11 c - 12c2+11c−12

Factor the trinomial completely. m2−10m+16m ^ { 2 } - 10 m + 16m2−10m+16

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

Factor completely. Check by multiplying the factors. $- 3 y ^ { 2 } + 18 y - 27$

Factor completely. Check by multiplying the factors. $36 - x ^ { 2 }$

Find the product. $\left( \frac { 1 } { 2 } x - 4 \right) \left( \frac { 1 } { 4 } x - 2 \right)$

Factor the trinomial completely. $c ^ { 2 } + 7 c - 18$

Factor. $42 x ^ { 3 } y - 49 x ^ { 4 } y + 28 x y$

Factor. $3 y - 6$

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

Factor completely. $6 a ^ { 2 } - 37 a - 35$

Factor the trinomial completely. $a ^ { 2 } + 11 a + 24$

Factor completely. $32 m ^ { 2 } - 28 m - 9$

Factor. $135 m ^ { 2 } n ^ { 2 } - 15 m n$

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

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

Find the product. $( 2 x + 1 ) ( 3 x + 2 )$

Factor the trinomial completely. $b ^ { 2 } + b - 56$

Factor completely. $20 x ^ { 2 } - 23 x + 6$

Factor completely. Check by multiplying the factors. $49 x ^ { 2 } - 100 y ^ { 2 }$

Factor completely. Check by multiplying the factors. $16 x ^ { 2 } - 24 x + 9$

Factor the trinomial completely. $c ^ { 2 } + 11 c - 12$

Factor the trinomial completely. $m ^ { 2 } - 10 m + 16$