Question 1

Find the product. $( 2 x + 3 ) ( 2 x - 9 )$

Accepted Answer

A)  $4 x ^ { 2 } - 24 x - 27$ 
B)  $4 x ^ { 2 } - 9 x - 27$ 
C)  $4 x ^ { 2 } - 12 x - 27$ 
D)  $4 x ^ { 2 } - 3 x - 27$ 
E)  $4 x ^ { 2 } - 27$ 
A)  $4 x ^ { 2 } - 24 x - 27$ 
B)  $4 x ^ { 2 } - 9 x - 27$ 
C)  $4 x ^ { 2 } - 12 x - 27$ 
D)  $4 x ^ { 2 } - 3 x - 27$ 
E)  $4 x ^ { 2 } - 27$ C

Question 2

Factor the trinomial completely. $r ^ { 2 } - 17 r + 66$

Accepted Answer

$( r - 11 ) \cdot ( r - 6 )$

Question 3

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

Accepted Answer

$2 x ^ { 2 } + 10 x + 12$

Question 4

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

Accepted Answer

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

Question 5

Factor. $14 y ^ { 2 } - 14 y ^ { 3 } + 28 y ^ { 4 }$

Accepted Answer

A)  $14 y ^ { 3 } \left( 2 - y + 2 y ^ { 2 } \right)$ 
B)  $14 y \left( 2 - y + 2 y ^ { 2 } \right)$ 
C)  $14 y ^ { 2 } \left( 14 - y + 28 y ^ { 2 } \right)$ 
D)  $14 y \left( 1 - y + 2 y ^ { 2 } \right)$ 
E)  $14 y ^ { 2 } \left( 1 - y + 2 y ^ { 2 } \right)$ 
A)  $14 y ^ { 3 } \left( 2 - y + 2 y ^ { 2 } \right)$ 
B)  $14 y \left( 2 - y + 2 y ^ { 2 } \right)$ 
C)  $14 y ^ { 2 } \left( 14 - y + 28 y ^ { 2 } \right)$ 
D)  $14 y \left( 1 - y + 2 y ^ { 2 } \right)$ 
E)  $14 y ^ { 2 } \left( 1 - y + 2 y ^ { 2 } \right)$

Question 6

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

Accepted Answer

A)  $y ^ { 4 } - z ^ { 2 }$ 
B)  $y ^ { 4 } + 2 y ^ { 2 } z - z ^ { 2 }$ 
C)  $y ^ { 4 } + 2 y ^ { 2 } z + z ^ { 2 }$ 
D)  $y ^ { 4 } + z ^ { 2 }$ 
E)  $y ^ { 4 } - 2 y ^ { 2 } z - z ^ { 2 }$ 
A)  $y ^ { 4 } - z ^ { 2 }$ 
B)  $y ^ { 4 } + 2 y ^ { 2 } z - z ^ { 2 }$ 
C)  $y ^ { 4 } + 2 y ^ { 2 } z + z ^ { 2 }$ 
D)  $y ^ { 4 } + z ^ { 2 }$ 
E)  $y ^ { 4 } - 2 y ^ { 2 } z - z ^ { 2 }$

Question 7

Factor. $18 x ^ { 2 } - 18 x$

Accepted Answer

The answer of Factor. \(18 x ^ { 2 }...

Question 8

Factor. $20 x ^ { 3 } y - 24 x ^ { 4 } y + 12 x y$

Accepted Answer

A)  $4 y \left( 5 x ^ { 2 } - 6 x ^ { 3 } + 3 \right)$ 
B)  $4 x \left( 5 x ^ { 2 } - 6 x ^ { 3 } + 3 \right)$ 
C)  $4 y x \left( 5 x ^ { 3 } - 6 x ^ { 4 } + 3 x \right)$ 
D)  $4 y \left( 5 x ^ { 3 } - 6 x ^ { 4 } + 3 x \right)$ 
E)  $4 x y \left( 5 x ^ { 2 } - 6 x ^ { 3 } + 3 \right)$ 
A)  $4 y \left( 5 x ^ { 2 } - 6 x ^ { 3 } + 3 \right)$ 
B)  $4 x \left( 5 x ^ { 2 } - 6 x ^ { 3 } + 3 \right)$ 
C)  $4 y x \left( 5 x ^ { 3 } - 6 x ^ { 4 } + 3 x \right)$ 
D)  $4 y \left( 5 x ^ { 3 } - 6 x ^ { 4 } + 3 x \right)$ 
E)  $4 x y \left( 5 x ^ { 2 } - 6 x ^ { 3 } + 3 \right)$

Question 9

Factor. $s ^ { 3 } + 7 s ^ { 2 } + 29 s$

Accepted Answer

A)  $s \left( s ^ { 2 } + 7 s + 29 s \right)$ 
B)  $s ^ { 2 } \left( s ^ { 2 } + 7 s + 29 \right)$ 
C)  $s ^ { 3 } ( 1 + 7 s + 29 )$ 
D)  $s \left( s ^ { 2 } + 7 s + 29 \right)$ 
E)  $s \left( s ^ { 3 } + 7 s ^ { 2 } + 29 \right)$ 
A)  $s \left( s ^ { 2 } + 7 s + 29 s \right)$ 
B)  $s ^ { 2 } \left( s ^ { 2 } + 7 s + 29 \right)$ 
C)  $s ^ { 3 } ( 1 + 7 s + 29 )$ 
D)  $s \left( s ^ { 2 } + 7 s + 29 \right)$ 
E)  $s \left( s ^ { 3 } + 7 s ^ { 2 } + 29 \right)$

Question 10

Find the product. $( 2 x + 7 ) ( 2 x + 6 )$

Accepted Answer

A)  $4 x ^ { 2 } + 13 x + 42$ 
B)  $4 x ^ { 2 } + 6 x + 42$ 
C)  $4 x ^ { 2 } + 26 x + 42$ 
D)  $4 x ^ { 2 } + 13 x + 42$ 
E)  $4 x ^ { 2 } + 42$ 
A)  $4 x ^ { 2 } + 13 x + 42$ 
B)  $4 x ^ { 2 } + 6 x + 42$ 
C)  $4 x ^ { 2 } + 26 x + 42$ 
D)  $4 x ^ { 2 } + 13 x + 42$ 
E)  $4 x ^ { 2 } + 42$

Question 11

Factor the trinomial completely. $c ^ { 2 } + 12 c + 32$

Accepted Answer

A)  $( c - 8 ) ( c + 4 )$ 
B)  $( c + 8 ) ( c - 4 )$ 
C)  $( c + 8 ) ( c + 4 )$ 
D)  $( c - 8 ) ( c - 4 )$ 
E)  not factorable 
A)  $( c - 8 ) ( c + 4 )$ 
B)  $( c + 8 ) ( c - 4 )$ 
C)  $( c + 8 ) ( c + 4 )$ 
D)  $( c - 8 ) ( c - 4 )$ 
E)  not factorable

Question 12

Factor completely. $4 x ^ { 2 } - 4 x - 15$

Accepted Answer

A)  $( 2 x + 3 ) ( 2 x - 5 )$ 
B)  $( 4 x + 3 ) ( x - 5 )$ 
C)  $( 2 x + 5 ) ( 2 x - 2.718282 )$ 
D)  $( 2 x + 5 ) ( 2 x - 10 )$ 
E)  $( 4 x + 5 ) ( 2 x - 2.718282 )$ 
A)  $( 2 x + 3 ) ( 2 x - 5 )$ 
B)  $( 4 x + 3 ) ( x - 5 )$ 
C)  $( 2 x + 5 ) ( 2 x - 2.718282 )$ 
D)  $( 2 x + 5 ) ( 2 x - 10 )$ 
E)  $( 4 x + 5 ) ( 2 x - 2.718282 )$

Question 13

Factor the trinomial completely. $y ^ { 2 } - 3 y - 54$

Accepted Answer

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

Question 14

Factor. $a - 2 a ^ { 9 }$

Accepted Answer

The answer of Factor. \(a - 2 a ^ {...

Question 15

Factor completely. Check by multiplying the factors. $25 b ^ { 2 } - 16$

Accepted Answer

A)  $( 8 b - 4 ) ( 8 b + 4 )$ 
B)  $( 25 b - 4 ) ( b + 4 )$ 
C)  $( 6 b - 4 ) ( 6 b + 4 )$ 
D)  $( 5 b - 4 ) ( 5 b + 4 )$ 
E)  $( 5 b + 4 ) ( 5 b + 4 )$ 
A)  $( 8 b - 4 ) ( 8 b + 4 )$ 
B)  $( 25 b - 4 ) ( b + 4 )$ 
C)  $( 6 b - 4 ) ( 6 b + 4 )$ 
D)  $( 5 b - 4 ) ( 5 b + 4 )$ 
E)  $( 5 b + 4 ) ( 5 b + 4 )$

Question 16

Factor completely. $6 a ^ { 2 } - 13 a - 44$

Accepted Answer

The answer of Factor completely. \(6 a ^ { 2...

Question 17

Factor completely. $8 m ^ { 2 } - 14 m - 9$

Accepted Answer

The answer of Factor completely. \(8 m ^ { 2...

Question 18

Factor completely. Check by multiplying the factors. $y ^ { 2 } - 12 y + 36$

Accepted Answer

A)  $( y + 6 ) ( y - 6 )$ 
B)  $( y - 6 ) ( y - 6 )$ 
C)  $( y + 5 ) ( y + 7 )$ 
D)  $( y + 6 ) ( y + 6 )$ 
E)  $( y - 1 ) ( y - 36 )$ 
A)  $( y + 6 ) ( y - 6 )$ 
B)  $( y - 6 ) ( y - 6 )$ 
C)  $( y + 5 ) ( y + 7 )$ 
D)  $( y + 6 ) ( y + 6 )$ 
E)  $( y - 1 ) ( y - 36 )$

Question 19

Factor completely. Check by multiplying the factors. $y ^ { 2 } - c ^ { 2 }$

Accepted Answer

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

Question 20

Factor the trinomial completely. $a ^ { 2 } + 8 a - 48$

Accepted Answer

A)  $( a + 4 ) ( a - 12 )$ 
B)  $( a - 4 ) ( a + 12 )$ 
C)  $( a + 4 ) ( a + 12 )$ 
D)  $( a - 4 ) ( a - 12 )$ 
E)  not factorable 
A)  $( a + 4 ) ( a - 12 )$ 
B)  $( a - 4 ) ( a + 12 )$ 
C)  $( a + 4 ) ( a + 12 )$ 
D)  $( a - 4 ) ( a - 12 )$ 
E)  not factorable

Find the product. $( 2 x + 3 ) ( 2 x - 9 )$

Factor the trinomial completely. $r ^ { 2 } - 17 r + 66$

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

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

Factor. $14 y ^ { 2 } - 14 y ^ { 3 } + 28 y ^ { 4 }$

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

Factor. $18 x ^ { 2 } - 18 x$

Factor. $20 x ^ { 3 } y - 24 x ^ { 4 } y + 12 x y$

Factor. $s ^ { 3 } + 7 s ^ { 2 } + 29 s$

Find the product. $( 2 x + 7 ) ( 2 x + 6 )$

Factor the trinomial completely. $c ^ { 2 } + 12 c + 32$

Factor completely. $4 x ^ { 2 } - 4 x - 15$

Factor the trinomial completely. $y ^ { 2 } - 3 y - 54$

Factor. $a - 2 a ^ { 9 }$

Factor completely. Check by multiplying the factors. $25 b ^ { 2 } - 16$

Factor completely. $6 a ^ { 2 } - 13 a - 44$

Factor completely. $8 m ^ { 2 } - 14 m - 9$

Factor completely. Check by multiplying the factors. $y ^ { 2 } - 12 y + 36$

Factor completely. Check by multiplying the factors. $y ^ { 2 } - c ^ { 2 }$

Factor the trinomial completely. $a ^ { 2 } + 8 a - 48$

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. (2x+3)(2x−9)( 2 x + 3 ) ( 2 x - 9 )(2x+3)(2x−9)

Factor the trinomial completely. r2−17r+66r ^ { 2 } - 17 r + 66r2−17r+66

Find the product. (x+2)(2x+6)( x + 2 ) ( 2 x + 6 )(x+2)(2x+6)

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

Factor. 14y2−14y3+28y414 y ^ { 2 } - 14 y ^ { 3 } + 28 y ^ { 4 }14y2−14y3+28y4

Find the product. (y2+z)\left( y ^ { 2 } + z \right)(y2+z) (y2−z)\left( y ^ { 2 } - z \right)(y2−z)

Factor. 18x2−18x18 x ^ { 2 } - 18 x18x2−18x

Factor. 20x3y−24x4y+12xy20 x ^ { 3 } y - 24 x ^ { 4 } y + 12 x y20x3y−24x4y+12xy

Factor. s3+7s2+29ss ^ { 3 } + 7 s ^ { 2 } + 29 ss3+7s2+29s

Find the product. (2x+7)(2x+6)( 2 x + 7 ) ( 2 x + 6 )(2x+7)(2x+6)

Factor the trinomial completely. c2+12c+32c ^ { 2 } + 12 c + 32c2+12c+32

Factor completely. 4x2−4x−154 x ^ { 2 } - 4 x - 154x2−4x−15

Factor the trinomial completely. y2−3y−54y ^ { 2 } - 3 y - 54y2−3y−54

Factor. a−2a9a - 2 a ^ { 9 }a−2a9

Factor completely. Check by multiplying the factors. 25b2−1625 b ^ { 2 } - 1625b2−16

Factor completely. 6a2−13a−446 a ^ { 2 } - 13 a - 446a2−13a−44

Factor completely. 8m2−14m−98 m ^ { 2 } - 14 m - 98m2−14m−9

Factor completely. Check by multiplying the factors. y2−12y+36y ^ { 2 } - 12 y + 36y2−12y+36

Factor completely. Check by multiplying the factors. y2−c2y ^ { 2 } - c ^ { 2 }y2−c2

Factor the trinomial completely. a2+8a−48a ^ { 2 } + 8 a - 48a2+8a−48

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. $( 2 x + 3 ) ( 2 x - 9 )$

Factor the trinomial completely. $r ^ { 2 } - 17 r + 66$

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

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

Factor. $14 y ^ { 2 } - 14 y ^ { 3 } + 28 y ^ { 4 }$

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

Factor. $18 x ^ { 2 } - 18 x$

Factor. $20 x ^ { 3 } y - 24 x ^ { 4 } y + 12 x y$

Factor. $s ^ { 3 } + 7 s ^ { 2 } + 29 s$

Find the product. $( 2 x + 7 ) ( 2 x + 6 )$

Factor the trinomial completely. $c ^ { 2 } + 12 c + 32$

Factor completely. $4 x ^ { 2 } - 4 x - 15$

Factor the trinomial completely. $y ^ { 2 } - 3 y - 54$

Factor. $a - 2 a ^ { 9 }$

Factor completely. Check by multiplying the factors. $25 b ^ { 2 } - 16$

Factor completely. $6 a ^ { 2 } - 13 a - 44$

Factor completely. $8 m ^ { 2 } - 14 m - 9$

Factor completely. Check by multiplying the factors. $y ^ { 2 } - 12 y + 36$

Factor completely. Check by multiplying the factors. $y ^ { 2 } - c ^ { 2 }$

Factor the trinomial completely. $a ^ { 2 } + 8 a - 48$