Question 1

Factor completely. Check by multiplying the factors. $b ^ { 2 } - 4$

Accepted Answer

A)  $( b - 4 ) ( b + 1 )$ 
B)  $( b - 4 ) ( b + 2 )$ 
C)  $( b - 2 ) ( b - 2 )$ 
D)  $2 \left( b ^ { 2 } - 2 \right)$ 
E)  $( b - 2 ) ( b + 2 )$ 
A)  $( b - 4 ) ( b + 1 )$ 
B)  $( b - 4 ) ( b + 2 )$ 
C)  $( b - 2 ) ( b - 2 )$ 
D)  $2 \left( b ^ { 2 } - 2 \right)$ 
E)  $( b - 2 ) ( b + 2 )$

Question 2

Factor the trinomial completely. $y ^ { 2 } + 8 y - 105$

Accepted Answer

A)  $( y + 7 ) ( y + 15 )$ 
B)  $( y + 7 ) ( y - 15 )$ 
C)  $( y - 7 ) ( y - 15 )$ 
D)  $( y - 7 ) ( y + 15 )$ 
E)  not factorable 
A)  $( y + 7 ) ( y + 15 )$ 
B)  $( y + 7 ) ( y - 15 )$ 
C)  $( y - 7 ) ( y - 15 )$ 
D)  $( y - 7 ) ( y + 15 )$ 
E)  not factorable

Question 3

Factor the trinomial completely. $r ^ { 2 } - 14 r + 45$

Accepted Answer

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

Question 4

Factor. $17 x ^ { 2 } - 17 x$

Accepted Answer

A)  $17 \left( x ^ { 2 } - 13 \right)$ 
B)  $17 \left( x ^ { 2 } - x \right)$ 
C)  $17 x ( 17 x - 1 )$ 
D)  $17 x ( x - 17 )$ 
E)  $17 x ( x - 1 )$ 
A)  $17 \left( x ^ { 2 } - 13 \right)$ 
B)  $17 \left( x ^ { 2 } - x \right)$ 
C)  $17 x ( 17 x - 1 )$ 
D)  $17 x ( x - 17 )$ 
E)  $17 x ( x - 1 )$

Question 5

Find the product. $( r - 16 ) ^ { 2 }$

Accepted Answer

The answer of Find the product. \(( r - 16...

Question 6

Factor completely. Check by multiplying the factors. $b ^ { 2 } - 18 b + 81$

Accepted Answer

A)  $( b - 9 ) ( b - 9 )$ 
B)  $( b - 81 ) ( b - 1 )$ 
C)  $( b + 9 ) ( b - 9 )$ 
D)  $( b + 81 ) ( b + 1 )$ 
E)  $( b + 9 ) ( b + 9 )$ 
A)  $( b - 9 ) ( b - 9 )$ 
B)  $( b - 81 ) ( b - 1 )$ 
C)  $( b + 9 ) ( b - 9 )$ 
D)  $( b + 81 ) ( b + 1 )$ 
E)  $( b + 9 ) ( b + 9 )$

Question 7

Factor completely. Check by multiplying the factors. $2 c ^ { 2 } - 8 c + 8$

Accepted Answer

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

Question 8

Factor completely. $2 x ^ { 2 } + 27 x + 81$

Accepted Answer

A)  $( 2 x - 9 ) ( x - 9 )$ 
B)  $( 2 x + 81 ) ( x + 1 )$ 
C)  $( 2 x + 9 ) ( x + 9 )$ 
D)  $( 2 x + 1 ) ( x + 81 )$ 
E)  Not factorable 
A)  $( 2 x - 9 ) ( x - 9 )$ 
B)  $( 2 x + 81 ) ( x + 1 )$ 
C)  $( 2 x + 9 ) ( x + 9 )$ 
D)  $( 2 x + 1 ) ( x + 81 )$ 
E)  Not factorable

Question 9

Find the product. $( 2 x + 10 ) ( 4 x - 1 )$

Accepted Answer

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

Question 10

Factor completely. $7 x ^ { 2 } + 9 x - 10$

Accepted Answer

The answer of Factor completely. \(7 x ^ { 2...

Question 11

Factor. $4 x ^ { 4 } + 20 x ^ { 3 } + 24 x ^ { 2 }$

Accepted Answer

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

Question 12

Factor. $4 x ^ { 4 } + 16 x ^ { 3 } + 20 x ^ { 2 }$

Accepted Answer

The answer of Factor. \(4 x ^ { 4 }...

Question 13

Find the product. (y + 3) 2

Accepted Answer

A)  y 2 - 9 
B)  y 2 - 6y + 9 
C)  y 2 + 9 
D)  y 2 + 6y + 9 
A)  y 2 - 9 
B)  y 2 - 6y + 9 
C)  y 2 + 9 
D)  y 2 + 6y + 9

Question 14

Factor completely. Check by multiplying the factors. $y ^ { 2 } - 14 y + 49$

Accepted Answer

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

Question 15

Factor completely. $5 a ^ { 2 } - 32 a - 21$

Accepted Answer

The answer of Factor completely. \(5 a ^ { 2...

Question 16

Factor completely. $63 y ^ { 2 } - 32 y - 63$

Accepted Answer

A)  $( 63 y + 7 ) ( y - 9 )$ 
B)  $( 9 y - 7 ) ( 7 y - 9 )$ 
C)  $( 9 y - 7 ) ( 7 y + 9 )$ 
D)  $( 9 y + 7 ) ( 7 y - 9 )$ 
E)  $( y + 7 ) ( 63 y - 9 )$ 
A)  $( 63 y + 7 ) ( y - 9 )$ 
B)  $( 9 y - 7 ) ( 7 y - 9 )$ 
C)  $( 9 y - 7 ) ( 7 y + 9 )$ 
D)  $( 9 y + 7 ) ( 7 y - 9 )$ 
E)  $( y + 7 ) ( 63 y - 9 )$

Question 17

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

Accepted Answer

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

Question 18

Factor the trinomial completely. $4 x ^ { 2 } - 32 x + 48$

Accepted Answer

The answer of Factor the trinomial completely. \(4 x ^...

Question 19

Find the product. $( 10 x - 7 ) ( 10 x - 2 )$

Accepted Answer

A)  $100 x ^ { 2 } - 2 x + 14$ 
B)  $100 x ^ { 2 } - 90 x + 14$ 
C)  $100 x ^ { 2 } - 7 x + 14$ 
D)  $100 x ^ { 2 } + 14$ 
E)  $100 x ^ { 2 } - 180 x + 14$ 
A)  $100 x ^ { 2 } - 2 x + 14$ 
B)  $100 x ^ { 2 } - 90 x + 14$ 
C)  $100 x ^ { 2 } - 7 x + 14$ 
D)  $100 x ^ { 2 } + 14$ 
E)  $100 x ^ { 2 } - 180 x + 14$

Question 20

Find the product. $( 2 x - y ) ( 4 x + 9 y )$

Accepted Answer

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

Factor completely. Check by multiplying the factors. $b ^ { 2 } - 4$

Factor the trinomial completely. $y ^ { 2 } + 8 y - 105$

Factor the trinomial completely. $r ^ { 2 } - 14 r + 45$

Factor. $17 x ^ { 2 } - 17 x$

Find the product. $( r - 16 ) ^ { 2 }$

Factor completely. Check by multiplying the factors. $b ^ { 2 } - 18 b + 81$

Factor completely. Check by multiplying the factors. $2 c ^ { 2 } - 8 c + 8$

Factor completely. $2 x ^ { 2 } + 27 x + 81$

Find the product. $( 2 x + 10 ) ( 4 x - 1 )$

Factor completely. $7 x ^ { 2 } + 9 x - 10$

Factor. $4 x ^ { 4 } + 20 x ^ { 3 } + 24 x ^ { 2 }$

Factor. $4 x ^ { 4 } + 16 x ^ { 3 } + 20 x ^ { 2 }$

Find the product. (y + 3) ²

Factor completely. Check by multiplying the factors. $y ^ { 2 } - 14 y + 49$

Factor completely. $5 a ^ { 2 } - 32 a - 21$

Factor completely. $63 y ^ { 2 } - 32 y - 63$

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

Factor the trinomial completely. $4 x ^ { 2 } - 32 x + 48$

Find the product. $( 10 x - 7 ) ( 10 x - 2 )$

Find the product. $( 2 x - y ) ( 4 x + 9 y )$

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. b2−4b ^ { 2 } - 4b2−4

Factor the trinomial completely. y2+8y−105y ^ { 2 } + 8 y - 105y2+8y−105

Factor the trinomial completely. r2−14r+45r ^ { 2 } - 14 r + 45r2−14r+45

Factor. 17x2−17x17 x ^ { 2 } - 17 x17x2−17x

Find the product. (r−16)2( r - 16 ) ^ { 2 }(r−16)2

Factor completely. Check by multiplying the factors. b2−18b+81b ^ { 2 } - 18 b + 81b2−18b+81

Factor completely. Check by multiplying the factors. 2c2−8c+82 c ^ { 2 } - 8 c + 82c2−8c+8

Factor completely. 2x2+27x+812 x ^ { 2 } + 27 x + 812x2+27x+81

Find the product. (2x+10)(4x−1)( 2 x + 10 ) ( 4 x - 1 )(2x+10)(4x−1)

Factor completely. 7x2+9x−107 x ^ { 2 } + 9 x - 107x2+9x−10

Factor. 4x4+20x3+24x24 x ^ { 4 } + 20 x ^ { 3 } + 24 x ^ { 2 }4x4+20x3+24x2

Factor. 4x4+16x3+20x24 x ^ { 4 } + 16 x ^ { 3 } + 20 x ^ { 2 }4x4+16x3+20x2

Find the product. (y + 3) 2

Factor completely. Check by multiplying the factors. y2−14y+49y ^ { 2 } - 14 y + 49y2−14y+49

Factor completely. 5a2−32a−215 a ^ { 2 } - 32 a - 215a2−32a−21

Factor completely. 63y2−32y−6363 y ^ { 2 } - 32 y - 6363y2−32y−63

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

Factor the trinomial completely. 4x2−32x+484 x ^ { 2 } - 32 x + 484x2−32x+48

Find the product. (10x−7)(10x−2)( 10 x - 7 ) ( 10 x - 2 )(10x−7)(10x−2)

Find the product. (2x−y)(4x+9y)( 2 x - y ) ( 4 x + 9 y )(2x−y)(4x+9y)

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. $b ^ { 2 } - 4$

Factor the trinomial completely. $y ^ { 2 } + 8 y - 105$

Factor the trinomial completely. $r ^ { 2 } - 14 r + 45$

Factor. $17 x ^ { 2 } - 17 x$

Find the product. $( r - 16 ) ^ { 2 }$

Factor completely. Check by multiplying the factors. $b ^ { 2 } - 18 b + 81$

Factor completely. Check by multiplying the factors. $2 c ^ { 2 } - 8 c + 8$

Factor completely. $2 x ^ { 2 } + 27 x + 81$

Find the product. $( 2 x + 10 ) ( 4 x - 1 )$

Factor completely. $7 x ^ { 2 } + 9 x - 10$

Factor. $4 x ^ { 4 } + 20 x ^ { 3 } + 24 x ^ { 2 }$

Factor. $4 x ^ { 4 } + 16 x ^ { 3 } + 20 x ^ { 2 }$

Find the product. (y + 3) ²

Factor completely. Check by multiplying the factors. $y ^ { 2 } - 14 y + 49$

Factor completely. $5 a ^ { 2 } - 32 a - 21$

Factor completely. $63 y ^ { 2 } - 32 y - 63$

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

Factor the trinomial completely. $4 x ^ { 2 } - 32 x + 48$

Find the product. $( 10 x - 7 ) ( 10 x - 2 )$

Find the product. $( 2 x - y ) ( 4 x + 9 y )$