Question 1

Factor completely. $20 z ^ { 2 } + 7 z - 6$

Accepted Answer

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

Question 2

Find the product. $( 2 x + 2 ) ( 3 x + 5 )$

Accepted Answer

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

Question 3

Factor completely. $12 x ^ { 2 } - 17 x + 6$

Accepted Answer

A)  $( 4 x - 3 ) ( 3 x + 2 )$ 
B)  $( 3 - 4 x ) ( 3 x + 2 )$ 
C)  $( 4 x - 3 ) ( 3 x + 2 )$ 
D)  $( 4 x - 3 ) ( 3 x + 2 )$ 
E)  $( 4 x - 3 ) ( 3 x + 2 )$ 
A)  $( 4 x - 3 ) ( 3 x + 2 )$ 
B)  $( 3 - 4 x ) ( 3 x + 2 )$ 
C)  $( 4 x - 3 ) ( 3 x + 2 )$ 
D)  $( 4 x - 3 ) ( 3 x + 2 )$ 
E)  $( 4 x - 3 ) ( 3 x + 2 )$

Question 4

Factor. $18 m ^ { 4 } - 24 m ^ { 2 } + 3 m$

Accepted Answer

The answer of Factor. \(18 m ^ { 4 }...

Question 5

Factor the trinomial completely. $a ^ { 2 } + 16 a + 63$

Accepted Answer

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

Question 6

Factor the trinomial completely. $m ^ { 2 } - 9 m + 18$

Accepted Answer

A)  $( m + 3 ) ( m + 6 )$ 
B)  $( m + 3 ) ( m - 6 )$ 
C)  $( m - 3 ) ( m - 6 )$ 
D)  $( m - 3 ) ( m + 6 )$ 
E)  not factorable 
A)  $( m + 3 ) ( m + 6 )$ 
B)  $( m + 3 ) ( m - 6 )$ 
C)  $( m - 3 ) ( m - 6 )$ 
D)  $( m - 3 ) ( m + 6 )$ 
E)  not factorable

Question 7

Factor completely. $18 x ^ { 2 } - 17 x + 4$

Accepted Answer

A)  $( x - 1 ) ( 18 x - 4 )$ 
B)  $( 2 x - 1 ) ( 9 x - 4 )$ 
C)  $( 2 x - 36 ) ( 1 x - 1 )$ 
D)  $( 18 x - 1 ) ( x - 4 )$ 
E)  $( 2 x - 4 ) ( 9 x - 1 )$ 
A)  $( x - 1 ) ( 18 x - 4 )$ 
B)  $( 2 x - 1 ) ( 9 x - 4 )$ 
C)  $( 2 x - 36 ) ( 1 x - 1 )$ 
D)  $( 18 x - 1 ) ( x - 4 )$ 
E)  $( 2 x - 4 ) ( 9 x - 1 )$

Question 8

Find the product. $( 7 - x )$   $( 7 + x )$

Accepted Answer

A)  $49 - 14 x + x ^ { 2 }$ 
B)  $49 + 14 x + x ^ { 2 }$ 
C)  $49 - x ^ { 2 }$ 
D)  $49 - 14 x - x ^ { 2 }$ 
E)  $49 + x ^ { 2 }$ 
A)  $49 - 14 x + x ^ { 2 }$ 
B)  $49 + 14 x + x ^ { 2 }$ 
C)  $49 - x ^ { 2 }$ 
D)  $49 - 14 x - x ^ { 2 }$ 
E)  $49 + x ^ { 2 }$

Question 9

Find the product. $( 5 x - 5 ) ( 2 x + 1 )$

Accepted Answer

The answer of Find the product. \(( 5 x -...

Question 10

Factor completely. Check by multiplying the factors. $m ^ { 2 } + 28 m + 196$

Accepted Answer

A)  $( m + 1 ) ( m + 196 )$ 
B)  $( m + 14 ) ( m + 14 )$ 
C)  $( m - 1 ) ( m - 196 )$ 
D)  $( m - 14 ) ( m + 14 )$ 
E)  $( m - 14 ) ( m - 14 )$ 
A)  $( m + 1 ) ( m + 196 )$ 
B)  $( m + 14 ) ( m + 14 )$ 
C)  $( m - 1 ) ( m - 196 )$ 
D)  $( m - 14 ) ( m + 14 )$ 
E)  $( m - 14 ) ( m - 14 )$

Question 11

Factor. $- 14 x ^ { 2 } y ^ { 3 } - 16 x ^ { 2 } y ^ { 4 } - 8 x ^ { 2 } y ^ { 5 }$

Accepted Answer

A)  $- 2 x ^ { 2 } y ^ { 3 } \left( 7 + 8 y - 4 y ^ { 2 } \right)$ 
B)  $- 2 x ^ { 2 } y ^ { 3 } \left( 7 - 8 y + 4 y ^ { 2 } \right)$ 
C)  $- 2 x ^ { 2 } y ^ { 3 } \left( 7 + 8 y + 4 y ^ { 2 } \right)$ 
D)  $- 2 x ^ { 2 } y ^ { 2 } \left( 7 + 8 y ^ { 2 } + 4 y ^ { 3 } \right)$ 
E)  $- 2 x y ^ { 3 } \left( 7 x + 8 y x + 4 y ^ { 2 } x \right)$ 
A)  $- 2 x ^ { 2 } y ^ { 3 } \left( 7 + 8 y - 4 y ^ { 2 } \right)$ 
B)  $- 2 x ^ { 2 } y ^ { 3 } \left( 7 - 8 y + 4 y ^ { 2 } \right)$ 
C)  $- 2 x ^ { 2 } y ^ { 3 } \left( 7 + 8 y + 4 y ^ { 2 } \right)$ 
D)  $- 2 x ^ { 2 } y ^ { 2 } \left( 7 + 8 y ^ { 2 } + 4 y ^ { 3 } \right)$ 
E)  $- 2 x y ^ { 3 } \left( 7 x + 8 y x + 4 y ^ { 2 } x \right)$

Question 12

Factor the trinomial completely. $m ^ { 2 } - 27 m + 182$

Accepted Answer

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

Question 13

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

Accepted Answer

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

Question 14

Factor completely. $64 x ^ { 2 } + 48 x - 9$

Accepted Answer

The answer of Factor completely. \(64 x ^ { 2...

Question 15

Find the product. $( 6 x + 9 ) ( 5 x - 7 )$

Accepted Answer

A)  $30 x ^ { 2 } - 63$ 
B)  $30 x ^ { 2 } + 3 x - 63$ 
C)  $30 x ^ { 2 } + 9 x - 63$ 
D)  $30 x ^ { 2 } + 6 x - 63$ 
E)  $30 x ^ { 2 } + 7 x - 63$ 
A)  $30 x ^ { 2 } - 63$ 
B)  $30 x ^ { 2 } + 3 x - 63$ 
C)  $30 x ^ { 2 } + 9 x - 63$ 
D)  $30 x ^ { 2 } + 6 x - 63$ 
E)  $30 x ^ { 2 } + 7 x - 63$

Question 16

Factor the trinomial completely. $r ^ { 2 } - 4 r - 5$

Accepted Answer

A)  $( r + 5 ) ( r + 1 )$ 
B)  $( r - 5 ) ( r + 1 )$ 
C)  $( r + 5 ) ( r - 1 )$ 
D)  $( r - 5 ) ( r - 1 )$ 
E)  not factorable 
A)  $( r + 5 ) ( r + 1 )$ 
B)  $( r - 5 ) ( r + 1 )$ 
C)  $( r + 5 ) ( r - 1 )$ 
D)  $( r - 5 ) ( r - 1 )$ 
E)  not factorable

Question 17

Factor the trinomial completely. $x ^ { 2 } - 8 x - 240$

Accepted Answer

A)  $( x - 20 ) ( x - 12 )$ 
B)  $( x - 20 ) ( x + 12 )$ 
C)  $( x + 20 ) ( x - 12 )$ 
D)  $( x + 20 ) ( x + 12 )$ 
E)  not factorable 
A)  $( x - 20 ) ( x - 12 )$ 
B)  $( x - 20 ) ( x + 12 )$ 
C)  $( x + 20 ) ( x - 12 )$ 
D)  $( x + 20 ) ( x + 12 )$ 
E)  not factorable

Question 18

Factor. $4 x ^ { 2 } - 12 x$

Accepted Answer

A)  $4 x \left( x ^ { 2 } - 3 \right)$ 
B)  $x ( 4 x - 4 )$ 
C)  $4 x ( 4 x - 16 )$ 
D)  $4 x ( x - 3 )$ 
E)  $9 x ( x - 4 )$ 
A)  $4 x \left( x ^ { 2 } - 3 \right)$ 
B)  $x ( 4 x - 4 )$ 
C)  $4 x ( 4 x - 16 )$ 
D)  $4 x ( x - 3 )$ 
E)  $9 x ( x - 4 )$

Question 19

Find the product. $( x - 15 ) ( x - 2 )$

Accepted Answer

The answer of Find the product. \(( x - 15...

Question 20

Find the product. $( x - 6 ) ( 3 x + 8 )$

Accepted Answer

The answer of Find the product. \(( x - 6...

Factor completely. $20 z ^ { 2 } + 7 z - 6$

Find the product. $( 2 x + 2 ) ( 3 x + 5 )$

Factor completely. $12 x ^ { 2 } - 17 x + 6$

Factor. $18 m ^ { 4 } - 24 m ^ { 2 } + 3 m$

Factor the trinomial completely. $a ^ { 2 } + 16 a + 63$

Factor the trinomial completely. $m ^ { 2 } - 9 m + 18$

Factor completely. $18 x ^ { 2 } - 17 x + 4$

Find the product. $( 7 - x )$ $( 7 + x )$

Find the product. $( 5 x - 5 ) ( 2 x + 1 )$

Factor completely. Check by multiplying the factors. $m ^ { 2 } + 28 m + 196$

Factor. $- 14 x ^ { 2 } y ^ { 3 } - 16 x ^ { 2 } y ^ { 4 } - 8 x ^ { 2 } y ^ { 5 }$

Factor the trinomial completely. $m ^ { 2 } - 27 m + 182$

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

Factor completely. $64 x ^ { 2 } + 48 x - 9$

Find the product. $( 6 x + 9 ) ( 5 x - 7 )$

Factor the trinomial completely. $r ^ { 2 } - 4 r - 5$

Factor the trinomial completely. $x ^ { 2 } - 8 x - 240$

Factor. $4 x ^ { 2 } - 12 x$

Find the product. $( x - 15 ) ( x - 2 )$

Find the product. $( x - 6 ) ( 3 x + 8 )$

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. 20z2+7z−620 z ^ { 2 } + 7 z - 620z2+7z−6

Find the product. (2x+2)(3x+5)( 2 x + 2 ) ( 3 x + 5 )(2x+2)(3x+5)

Factor completely. 12x2−17x+612 x ^ { 2 } - 17 x + 612x2−17x+6

Factor. 18m4−24m2+3m18 m ^ { 4 } - 24 m ^ { 2 } + 3 m18m4−24m2+3m

Factor the trinomial completely. a2+16a+63a ^ { 2 } + 16 a + 63a2+16a+63

Factor the trinomial completely. m2−9m+18m ^ { 2 } - 9 m + 18m2−9m+18

Factor completely. 18x2−17x+418 x ^ { 2 } - 17 x + 418x2−17x+4

Find the product. (7−x)( 7 - x )(7−x) (7+x)( 7 + x )(7+x)

Find the product. (5x−5)(2x+1)( 5 x - 5 ) ( 2 x + 1 )(5x−5)(2x+1)

Factor completely. Check by multiplying the factors. m2+28m+196m ^ { 2 } + 28 m + 196m2+28m+196

Factor. −14x2y3−16x2y4−8x2y5- 14 x ^ { 2 } y ^ { 3 } - 16 x ^ { 2 } y ^ { 4 } - 8 x ^ { 2 } y ^ { 5 }−14x2y3−16x2y4−8x2y5

Factor the trinomial completely. m2−27m+182m ^ { 2 } - 27 m + 182m2−27m+182

Factor completely. Check by multiplying the factors. 49−x249 - x ^ { 2 }49−x2

Factor completely. 64x2+48x−964 x ^ { 2 } + 48 x - 964x2+48x−9

Find the product. (6x+9)(5x−7)( 6 x + 9 ) ( 5 x - 7 )(6x+9)(5x−7)

Factor the trinomial completely. r2−4r−5r ^ { 2 } - 4 r - 5r2−4r−5

Factor the trinomial completely. x2−8x−240x ^ { 2 } - 8 x - 240x2−8x−240

Factor. 4x2−12x4 x ^ { 2 } - 12 x4x2−12x

Find the product. (x−15)(x−2)( x - 15 ) ( x - 2 )(x−15)(x−2)

Find the product. (x−6)(3x+8)( x - 6 ) ( 3 x + 8 )(x−6)(3x+8)

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. $20 z ^ { 2 } + 7 z - 6$

Find the product. $( 2 x + 2 ) ( 3 x + 5 )$

Factor completely. $12 x ^ { 2 } - 17 x + 6$

Factor. $18 m ^ { 4 } - 24 m ^ { 2 } + 3 m$

Factor the trinomial completely. $a ^ { 2 } + 16 a + 63$

Factor the trinomial completely. $m ^ { 2 } - 9 m + 18$

Factor completely. $18 x ^ { 2 } - 17 x + 4$

Find the product. $( 7 - x )$ $( 7 + x )$

Find the product. $( 5 x - 5 ) ( 2 x + 1 )$

Factor completely. Check by multiplying the factors. $m ^ { 2 } + 28 m + 196$

Factor. $- 14 x ^ { 2 } y ^ { 3 } - 16 x ^ { 2 } y ^ { 4 } - 8 x ^ { 2 } y ^ { 5 }$

Factor the trinomial completely. $m ^ { 2 } - 27 m + 182$

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

Factor completely. $64 x ^ { 2 } + 48 x - 9$

Find the product. $( 6 x + 9 ) ( 5 x - 7 )$

Factor the trinomial completely. $r ^ { 2 } - 4 r - 5$

Factor the trinomial completely. $x ^ { 2 } - 8 x - 240$

Factor. $4 x ^ { 2 } - 12 x$

Find the product. $( x - 15 ) ( x - 2 )$

Find the product. $( x - 6 ) ( 3 x + 8 )$