Question 1

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

Accepted Answer

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

Question 2

Factor the trinomial completely. $6 a ^ { 2 } - 6 a - 336$

Accepted Answer

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

Question 3

Factor completely. $3 a ^ { 2 } + 4 a - 15$

Accepted Answer

A)  $( 3 a - 1 ) ( a + 15 )$ 
B)  $( 3 a + 5 ) ( a - 3 )$ 
C)  $( 3 a - 15 ) ( a + 1 )$ 
D)  $( 3 a - 5 ) ( a + 3 )$ 
E)  Not factorable 
A)  $( 3 a - 1 ) ( a + 15 )$ 
B)  $( 3 a + 5 ) ( a - 3 )$ 
C)  $( 3 a - 15 ) ( a + 1 )$ 
D)  $( 3 a - 5 ) ( a + 3 )$ 
E)  Not factorable

Question 4

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

Accepted Answer

A)  $( x + 9 ) ( x + 2 )$ 
B)  $( x - 9 ) ( x + 2 )$ 
C)  $( x - 9 ) ( x - 2 )$ 
D)  $( x + 9 ) ( x - 2 )$ 
E)  not factorable 
A)  $( x + 9 ) ( x + 2 )$ 
B)  $( x - 9 ) ( x + 2 )$ 
C)  $( x - 9 ) ( x - 2 )$ 
D)  $( x + 9 ) ( x - 2 )$ 
E)  not factorable

Question 5

Factor. $99 a x - 11 a$

Accepted Answer

The answer of Factor. $99 a x - 11 a$...

Question 6

Find the product. $( m - 7 ) ( m + 2 )$

Accepted Answer

A)  $m ^ { 2 } - 5 m - 14$ 
B)  $m ^ { 2 } - 10 m - 14$ 
C)  $m ^ { 2 } - 14$ 
D)  $m ^ { 2 } - 9 m - 14$ 
E)  $m ^ { 2 } - 7 m - 14$ 
A)  $m ^ { 2 } - 5 m - 14$ 
B)  $m ^ { 2 } - 10 m - 14$ 
C)  $m ^ { 2 } - 14$ 
D)  $m ^ { 2 } - 9 m - 14$ 
E)  $m ^ { 2 } - 7 m - 14$

Question 7

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

Accepted Answer

A)  $a \left( 1 - 2 a ^ { 8 } \right)$ 
B)  $2 a \left( 1 - a ^ { 7 } \right)$ 
C)  $a ( 1 - 2 a )$ 
D)  $a \left( 1 - 2 a ^ { 9 } \right)$ 
E)  $a \left( 1 - 2 a ^ { 12 } \right)$ 
A)  $a \left( 1 - 2 a ^ { 8 } \right)$ 
B)  $2 a \left( 1 - a ^ { 7 } \right)$ 
C)  $a ( 1 - 2 a )$ 
D)  $a \left( 1 - 2 a ^ { 9 } \right)$ 
E)  $a \left( 1 - 2 a ^ { 12 } \right)$

Question 8

Factor completely. Check by multiplying the factors. $16 x ^ { 2 } - 289$

Accepted Answer

A)  $( 4 x + 17 ) ( 4 x + 17 )$ 
B)  $( 4 x - 17 ) ( 4 x + 17 )$ 
C)  $( x - 17 ) ( 4 x + 17 )$ 
D)  $( 4 x - 17 ) ( 4 x + 4 )$ 
E)  $( 17 x - 17 ) ( 4 x + 17 )$ 
A)  $( 4 x + 17 ) ( 4 x + 17 )$ 
B)  $( 4 x - 17 ) ( 4 x + 17 )$ 
C)  $( x - 17 ) ( 4 x + 17 )$ 
D)  $( 4 x - 17 ) ( 4 x + 4 )$ 
E)  $( 17 x - 17 ) ( 4 x + 17 )$

Question 9

Find the product. $( x - 5 ) ( x - 10 )$

Accepted Answer

A)  $x ^ { 2 } - 10 x + 50$ 
B)  $x ^ { 2 } - 50 x + 5$ 
C)  $x ^ { 2 } - 30 x + 50$ 
D)  $x ^ { 2 } - 15 x + 50$ 
E)  $x ^ { 2 } + 50$ 
A)  $x ^ { 2 } - 10 x + 50$ 
B)  $x ^ { 2 } - 50 x + 5$ 
C)  $x ^ { 2 } - 30 x + 50$ 
D)  $x ^ { 2 } - 15 x + 50$ 
E)  $x ^ { 2 } + 50$

Question 10

Factor completely. Check by multiplying the factors. $- 9 x ^ { 2 } + 144 x ^ { 4 }$

Accepted Answer

A)  $9 x ^ { 2 } ( 144 x - 1 ) ( x + 1 )$ 
B)  $9 x ^ { 3 } ( 4 x - 1 ) ( 4 + 1 )$ 
C)  $9 x ^ { 2 } ( 4 x - 1 ) ( 4 + 1 )$ 
D)  $9 x \left( 4 x ^ { 2 } - 1 \right) ( 4 x + 1 )$ 
E)  $9 x \left( x ^ { 2 } - 1 \right) ( 16 x + 1 )$ 
A)  $9 x ^ { 2 } ( 144 x - 1 ) ( x + 1 )$ 
B)  $9 x ^ { 3 } ( 4 x - 1 ) ( 4 + 1 )$ 
C)  $9 x ^ { 2 } ( 4 x - 1 ) ( 4 + 1 )$ 
D)  $9 x \left( 4 x ^ { 2 } - 1 \right) ( 4 x + 1 )$ 
E)  $9 x \left( x ^ { 2 } - 1 \right) ( 16 x + 1 )$

Question 11

Find the product. $( x - 8 ) ^ { 2 }$

Accepted Answer

A)  $x ^ { 2 } + 16 x + 64$ 
B)  $x ^ { 2 } - 64$ 
C)  $x ^ { 2 } + 64$ 
D)  $x ^ { 2 } - 16 x + 64$ 
E)  $x ^ { 2 } - 16 x + 64$ 
A)  $x ^ { 2 } + 16 x + 64$ 
B)  $x ^ { 2 } - 64$ 
C)  $x ^ { 2 } + 64$ 
D)  $x ^ { 2 } - 16 x + 64$ 
E)  $x ^ { 2 } - 16 x + 64$

Question 12

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

Accepted Answer

The answer of Find the product. \(( 12 x -...

Question 13

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

Accepted Answer

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

Question 14

Factor completely. Check by multiplying the factors. $144 x ^ { 2 } - 24 x + 1$

Accepted Answer

A)  $( 12 x - 1 ) ( 12 x - 1 )$ 
B)  $( 6 x - 1 ) ( 24 x - 1 )$ 
C)  $( 144 x - 1 ) ( x - 1 )$ 
D)  $( 6 x + 1 ) ( 24 x + 1 )$ 
E)  $( 12 x + 1 ) ( 12 x + 1 )$ 
A)  $( 12 x - 1 ) ( 12 x - 1 )$ 
B)  $( 6 x - 1 ) ( 24 x - 1 )$ 
C)  $( 144 x - 1 ) ( x - 1 )$ 
D)  $( 6 x + 1 ) ( 24 x + 1 )$ 
E)  $( 12 x + 1 ) ( 12 x + 1 )$

Question 15

Factor. $78 m ^ { 2 } - 42 m + 6$

Accepted Answer

A)  $\left( 78 m ^ { 2 } - 7 m ^ { 2 } + 1 \right)$ 
B)  $m \left( 78 m ^ { 2 } - 42 m + 6 \right)$ 
C)  $6 \left( 13 m ^ { 2 } - 7 m + 1 \right)$ 
D)  $6 \left( 13 m ^ { 2 } - 7 + m \right)$ 
E)  $\left( 78 m ^ { 2 } - 42 m ^ { 2 } + 1 \right)$ 
A)  $\left( 78 m ^ { 2 } - 7 m ^ { 2 } + 1 \right)$ 
B)  $m \left( 78 m ^ { 2 } - 42 m + 6 \right)$ 
C)  $6 \left( 13 m ^ { 2 } - 7 m + 1 \right)$ 
D)  $6 \left( 13 m ^ { 2 } - 7 + m \right)$ 
E)  $\left( 78 m ^ { 2 } - 42 m ^ { 2 } + 1 \right)$

Question 16

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

Accepted Answer

The answer of Factor completely. \(12 x ^ { 2...

Question 17

Factor completely. $28 x ^ { 2 } - 15 x + 2$

Accepted Answer

The answer of Factor completely. \(28 x ^ { 2...

Question 18

Find the product. $( 50 + 2 )$   $( 50 - 2 )$

Accepted Answer

The answer of Find the product. \(( 50 + 2...

Question 19

Factor completely. $4 y ^ { 4 } - 3 y ^ { 2 } - 45$

Accepted Answer

The answer of Factor completely. \(4 y ^ { 4...

Question 20

Find the product. $( x + 1 ) ^ { 2 }$

Accepted Answer

A)  $x ^ { 2 } + 2 x - 1$ 
B)  $x ^ { 2 } + 1$ 
C)  $x ^ { 2 } - 1$ 
D)  $x ^ { 2 } + 2 x + 1$ 
E)  $x ^ { 2 } - 2 x - 1$ 
A)  $x ^ { 2 } + 2 x - 1$ 
B)  $x ^ { 2 } + 1$ 
C)  $x ^ { 2 } - 1$ 
D)  $x ^ { 2 } + 2 x + 1$ 
E)  $x ^ { 2 } - 2 x - 1$

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

Factor the trinomial completely. $6 a ^ { 2 } - 6 a - 336$

Factor completely. $3 a ^ { 2 } + 4 a - 15$

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

Factor. $99 a x - 11 a$

Find the product. $( m - 7 ) ( m + 2 )$

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

Factor completely. Check by multiplying the factors. $16 x ^ { 2 } - 289$

Find the product. $( x - 5 ) ( x - 10 )$

Factor completely. Check by multiplying the factors. $- 9 x ^ { 2 } + 144 x ^ { 4 }$

Find the product. $( x - 8 ) ^ { 2 }$

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

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

Factor completely. Check by multiplying the factors. $144 x ^ { 2 } - 24 x + 1$

Factor. $78 m ^ { 2 } - 42 m + 6$

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

Factor completely. $28 x ^ { 2 } - 15 x + 2$

Find the product. $( 50 + 2 )$ $( 50 - 2 )$

Factor completely. $4 y ^ { 4 } - 3 y ^ { 2 } - 45$

Find the product. $( x + 1 ) ^ { 2 }$

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. 16−x2y216 - x ^ { 2 } y ^ { 2 }16−x2y2

Factor the trinomial completely. 6a2−6a−3366 a ^ { 2 } - 6 a - 3366a2−6a−336

Factor completely. 3a2+4a−153 a ^ { 2 } + 4 a - 153a2+4a−15

Factor the trinomial completely. x2−7x−18x ^ { 2 } - 7 x - 18x2−7x−18

Factor. 99ax−11a99 a x - 11 a99ax−11a

Find the product. (m−7)(m+2)( m - 7 ) ( m + 2 )(m−7)(m+2)

Factor. a−2a9a - 2 a ^ { 9 }a−2a9

Factor completely. Check by multiplying the factors. 16x2−28916 x ^ { 2 } - 28916x2−289

Find the product. (x−5)(x−10)( x - 5 ) ( x - 10 )(x−5)(x−10)

Factor completely. Check by multiplying the factors. −9x2+144x4- 9 x ^ { 2 } + 144 x ^ { 4 }−9x2+144x4

Find the product. (x−8)2( x - 8 ) ^ { 2 }(x−8)2

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

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

Factor completely. Check by multiplying the factors. 144x2−24x+1144 x ^ { 2 } - 24 x + 1144x2−24x+1

Factor. 78m2−42m+678 m ^ { 2 } - 42 m + 678m2−42m+6

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

Factor completely. 28x2−15x+228 x ^ { 2 } - 15 x + 228x2−15x+2

Find the product. (50+2)( 50 + 2 )(50+2) (50−2)( 50 - 2 )(50−2)

Factor completely. 4y4−3y2−454 y ^ { 4 } - 3 y ^ { 2 } - 454y4−3y2−45

Find the product. (x+1)2( x + 1 ) ^ { 2 }(x+1)2

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. $16 - x ^ { 2 } y ^ { 2 }$

Factor the trinomial completely. $6 a ^ { 2 } - 6 a - 336$

Factor completely. $3 a ^ { 2 } + 4 a - 15$

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

Factor. $99 a x - 11 a$

Find the product. $( m - 7 ) ( m + 2 )$

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

Factor completely. Check by multiplying the factors. $16 x ^ { 2 } - 289$

Find the product. $( x - 5 ) ( x - 10 )$

Factor completely. Check by multiplying the factors. $- 9 x ^ { 2 } + 144 x ^ { 4 }$

Find the product. $( x - 8 ) ^ { 2 }$

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

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

Factor completely. Check by multiplying the factors. $144 x ^ { 2 } - 24 x + 1$

Factor. $78 m ^ { 2 } - 42 m + 6$

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

Factor completely. $28 x ^ { 2 } - 15 x + 2$

Find the product. $( 50 + 2 )$ $( 50 - 2 )$

Factor completely. $4 y ^ { 4 } - 3 y ^ { 2 } - 45$

Find the product. $( x + 1 ) ^ { 2 }$