Question 1

Find the product.   $\left( y ^ { 4 } + 9 \right)$ $\left( y ^ { 4 } - 9 \right)$

Accepted Answer

A)  $y ^ { 4 } - 18 y - 81$ 
B)  $y ^ { 4 } - 81$ 
C)  $y ^ { 4 } + 18 y + 81$ 
D)  $y ^ { 4 } - 18 y + 81$ 
E)  $y ^ { 4 } + 81$ 
A)  $y ^ { 4 } - 18 y - 81$ 
B)  $y ^ { 4 } - 81$ 
C)  $y ^ { 4 } + 18 y + 81$ 
D)  $y ^ { 4 } - 18 y + 81$ 
E)  $y ^ { 4 } + 81$

Question 2

Factor. $14 m ^ { 4 } - 28 m ^ { 2 } + 7 m$

Accepted Answer

A)  $7 m \left( 2 m ^ { 3 } - 4 m + 1 \right)$ 
B)  $7 m \left( 4 m ^ { 3 } - 2 m + 1 \right)$ 
C)  $2 m \left( 2 m ^ { 3 } - 4 m + 7 \right)$ 
D)  $2 m \left( 7 m ^ { 3 } - 2 m + 1 \right)$ 
E)  $2 m \left( 2 m ^ { 3 } - 4 m ^ { 2 } + 7 m \right)$ 
A)  $7 m \left( 2 m ^ { 3 } - 4 m + 1 \right)$ 
B)  $7 m \left( 4 m ^ { 3 } - 2 m + 1 \right)$ 
C)  $2 m \left( 2 m ^ { 3 } - 4 m + 7 \right)$ 
D)  $2 m \left( 7 m ^ { 3 } - 2 m + 1 \right)$ 
E)  $2 m \left( 2 m ^ { 3 } - 4 m ^ { 2 } + 7 m \right)$

Question 3

Factor completely. $20 t ^ { 2 } + 9 t - 20$

Accepted Answer

A)  $( 4 t - 5 ) ( 5 t - 4 )$ 
B)  $( 4 t + 5 ) ( 5 t + 4 )$ 
C)  $( 4 t + 5 ) ( 5 t - 4 )$ 
D)  $( 4 t - 5 ) ( 5 t + 4 )$ 
E)  $( 5 - 4 t ) ( 5 t + 4 )$ 
A)  $( 4 t - 5 ) ( 5 t - 4 )$ 
B)  $( 4 t + 5 ) ( 5 t + 4 )$ 
C)  $( 4 t + 5 ) ( 5 t - 4 )$ 
D)  $( 4 t - 5 ) ( 5 t + 4 )$ 
E)  $( 5 - 4 t ) ( 5 t + 4 )$

Question 4

Factor the trinomial completely. $m ^ { 2 } - 5 m - 6$

Accepted Answer

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

Question 5

Find the product. $( 10 x - 7 ) ( 10 x - 4 )$

Accepted Answer

The answer of Find the product. \(( 10 x -...

Question 6

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

Accepted Answer

A)  $a ( r - 11 ) ( r + 1 )$ 
B)  $a ( r - 11 ) ( r - 1 )$ 
C)  $a ( r + 11 ) ( r - 1 )$ 
D)  $( a r - 11 a ) ( r - 1 )$ 
E)  not factorable 
A)  $a ( r - 11 ) ( r + 1 )$ 
B)  $a ( r - 11 ) ( r - 1 )$ 
C)  $a ( r + 11 ) ( r - 1 )$ 
D)  $( a r - 11 a ) ( r - 1 )$ 
E)  not factorable

Question 7

Factor the trinomial completely. $b r ^ { 2 } - 8 b r + 15 b$

Accepted Answer

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

Question 8

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

Accepted Answer

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

Question 9

Find the product. $( m - 7 ) ( m + 4 )$

Accepted Answer

The answer of Find the product. \(( m - 7...

Question 10

Factor completely. Check by multiplying the factors. $- 5 y ^ { 2 } + 40 y - 80$

Accepted Answer

A)  $( - 5 y - 4 ) ( y - 4 )$ 
B)  $- 5 ( y + 4 ) ( y + 4 )$ 
C)  $- 5 ( y - 4 ) ( y - 4 )$ 
D)  $- ( 5 y - 4 ) ( y - 4 )$ 
E)  $5 ( y - 4 ) ( y - 4 )$ 
A)  $( - 5 y - 4 ) ( y - 4 )$ 
B)  $- 5 ( y + 4 ) ( y + 4 )$ 
C)  $- 5 ( y - 4 ) ( y - 4 )$ 
D)  $- ( 5 y - 4 ) ( y - 4 )$ 
E)  $5 ( y - 4 ) ( y - 4 )$

Question 11

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

Accepted Answer

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

Question 12

Factor completely. $- 16 x ^ { 3 } - 76 x ^ { 2 } - 18 x$

Accepted Answer

A)  $- 76 x ( 4 x - 1 ) ( 2 x - 9 )$ 
B)  $2 x ( - 4 x + 1 ) ( 2 x + 9 )$ 
C)  $- x ( 8 x + 2 ) ( 2 x + 9 )$ 
D)  $- 2 x ( 4 x + 1 ) ( 2 x + 9 )$ 
E)  $- 2 x ( 4 x + 1 ) ( 4 x + 18 )$ 
A)  $- 76 x ( 4 x - 1 ) ( 2 x - 9 )$ 
B)  $2 x ( - 4 x + 1 ) ( 2 x + 9 )$ 
C)  $- x ( 8 x + 2 ) ( 2 x + 9 )$ 
D)  $- 2 x ( 4 x + 1 ) ( 2 x + 9 )$ 
E)  $- 2 x ( 4 x + 1 ) ( 4 x + 18 )$

Question 13

Factor the trinomial completely. $x ^ { 2 } + 20 x + 100$

Accepted Answer

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

Question 14

Factor. $150 r ^ { 2 } - 30 T ^ { 2 }$

Accepted Answer

A)  $30 \left( 5 r ^ { 2 } - T ^ { 2 } \right)$ 
B)  $30 \left( 150 r ^ { 2 } - T ^ { 2 } \right)$ 
C)  $30 \left( 5 r ^ { 3 } - T \right)$ 
D)  $30 \left( 5 r - T ^ { 2 } \right)$ 
E)  $T \left( 5 r ^ { 2 } - T ^ { 2 } \right)$ 
A)  $30 \left( 5 r ^ { 2 } - T ^ { 2 } \right)$ 
B)  $30 \left( 150 r ^ { 2 } - T ^ { 2 } \right)$ 
C)  $30 \left( 5 r ^ { 3 } - T \right)$ 
D)  $30 \left( 5 r - T ^ { 2 } \right)$ 
E)  $T \left( 5 r ^ { 2 } - T ^ { 2 } \right)$

Question 15

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

Accepted Answer

The answer of Find the product. \(( m - 7...

Question 16

Factor. $102 y ^ { 2 } - 17 y ^ { 3 } + 119 y ^ { 4 }$

Accepted Answer

The answer of Factor. \(102 y ^ { 2 }...

Question 17

Factor. $10 x y - 2 x ^ { 2 } y ^ { 2 }$

Accepted Answer

A)  $2 y ( 5 - x )$ 
B)  $2 x ^ { 2 } ( 5 - x y )$ 
C)  $2 x ( 5 - x y )$ 
D)  $2 x y ( 5 - x y )$ 
E)  $2 y ( 5 - x y )$ 
A)  $2 y ( 5 - x )$ 
B)  $2 x ^ { 2 } ( 5 - x y )$ 
C)  $2 x ( 5 - x y )$ 
D)  $2 x y ( 5 - x y )$ 
E)  $2 y ( 5 - x y )$

Question 18

Factor completely. Check by multiplying the factors. $y m ^ { 2 } - 8 y m + 16 y$

Accepted Answer

A)  $y ( m - 4 y ) ( m - 4 )$ 
B)  $y ( m - 1 ) ( m - 16 )$ 
C)  $( y m - 4 ) ( m - 4 )$ 
D)  $( m - 4 ) ( m - 4 )$ 
E)  $y ( m - 4 ) ( m - 4 )$ 
A)  $y ( m - 4 y ) ( m - 4 )$ 
B)  $y ( m - 1 ) ( m - 16 )$ 
C)  $( y m - 4 ) ( m - 4 )$ 
D)  $( m - 4 ) ( m - 4 )$ 
E)  $y ( m - 4 ) ( m - 4 )$

Question 19

Find the product. $( x + 3 ) ^ { 2 }$

Accepted Answer

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

Question 20

Factor the trinomial completely. $m ^ { 2 } - 4 m - 21$

Accepted Answer

A)  $( m - 7 ) ( m - 3 )$ 
B)  $( m + 7 ) ( m - 3 )$ 
C)  $( m - 7 ) ( m + 3 )$ 
D)  $( m + 7 ) ( m + 3 )$ 
E)  not factorable 
A)  $( m - 7 ) ( m - 3 )$ 
B)  $( m + 7 ) ( m - 3 )$ 
C)  $( m - 7 ) ( m + 3 )$ 
D)  $( m + 7 ) ( m + 3 )$ 
E)  not factorable

Find the product. $\left( y ^ { 4 } + 9 \right)$ $\left( y ^ { 4 } - 9 \right)$

Factor. $14 m ^ { 4 } - 28 m ^ { 2 } + 7 m$

Factor completely. $20 t ^ { 2 } + 9 t - 20$

Factor the trinomial completely. $m ^ { 2 } - 5 m - 6$

Find the product. $( 10 x - 7 ) ( 10 x - 4 )$

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

Factor the trinomial completely. $b r ^ { 2 } - 8 b r + 15 b$

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

Find the product. $( m - 7 ) ( m + 4 )$

Factor completely. Check by multiplying the factors. $- 5 y ^ { 2 } + 40 y - 80$

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

Factor completely. $- 16 x ^ { 3 } - 76 x ^ { 2 } - 18 x$

Factor the trinomial completely. $x ^ { 2 } + 20 x + 100$

Factor. $150 r ^ { 2 } - 30 T ^ { 2 }$

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

Factor. $102 y ^ { 2 } - 17 y ^ { 3 } + 119 y ^ { 4 }$

Factor. $10 x y - 2 x ^ { 2 } y ^ { 2 }$

Factor completely. Check by multiplying the factors. $y m ^ { 2 } - 8 y m + 16 y$

Find the product. $( x + 3 ) ^ { 2 }$

Factor the trinomial completely. $m ^ { 2 } - 4 m - 21$

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. (y4+9)\left( y ^ { 4 } + 9 \right)(y4+9) (y4−9)\left( y ^ { 4 } - 9 \right)(y4−9)

Factor. 14m4−28m2+7m14 m ^ { 4 } - 28 m ^ { 2 } + 7 m14m4−28m2+7m

Factor completely. 20t2+9t−2020 t ^ { 2 } + 9 t - 2020t2+9t−20

Factor the trinomial completely. m2−5m−6m ^ { 2 } - 5 m - 6m2−5m−6

Find the product. (10x−7)(10x−4)( 10 x - 7 ) ( 10 x - 4 )(10x−7)(10x−4)

Factor the trinomial completely. ar2−12ar+11aa r ^ { 2 } - 12 a r + 11 aar2−12ar+11a

Factor the trinomial completely. br2−8br+15bb r ^ { 2 } - 8 b r + 15 bbr2−8br+15b

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

Find the product. (m−7)(m+4)( m - 7 ) ( m + 4 )(m−7)(m+4)

Factor completely. Check by multiplying the factors. −5y2+40y−80- 5 y ^ { 2 } + 40 y - 80−5y2+40y−80

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

Factor completely. −16x3−76x2−18x- 16 x ^ { 3 } - 76 x ^ { 2 } - 18 x−16x3−76x2−18x

Factor the trinomial completely. x2+20x+100x ^ { 2 } + 20 x + 100x2+20x+100

Factor. 150r2−30T2150 r ^ { 2 } - 30 T ^ { 2 }150r2−30T2

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

Factor. 102y2−17y3+119y4102 y ^ { 2 } - 17 y ^ { 3 } + 119 y ^ { 4 }102y2−17y3+119y4

Factor. 10xy−2x2y210 x y - 2 x ^ { 2 } y ^ { 2 }10xy−2x2y2

Factor completely. Check by multiplying the factors. ym2−8ym+16yy m ^ { 2 } - 8 y m + 16 yym2−8ym+16y

Find the product. (x+3)2( x + 3 ) ^ { 2 }(x+3)2

Factor the trinomial completely. m2−4m−21m ^ { 2 } - 4 m - 21m2−4m−21

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. $\left( y ^ { 4 } + 9 \right)$ $\left( y ^ { 4 } - 9 \right)$

Factor. $14 m ^ { 4 } - 28 m ^ { 2 } + 7 m$

Factor completely. $20 t ^ { 2 } + 9 t - 20$

Factor the trinomial completely. $m ^ { 2 } - 5 m - 6$

Find the product. $( 10 x - 7 ) ( 10 x - 4 )$

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

Factor the trinomial completely. $b r ^ { 2 } - 8 b r + 15 b$

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

Find the product. $( m - 7 ) ( m + 4 )$

Factor completely. Check by multiplying the factors. $- 5 y ^ { 2 } + 40 y - 80$

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

Factor completely. $- 16 x ^ { 3 } - 76 x ^ { 2 } - 18 x$

Factor the trinomial completely. $x ^ { 2 } + 20 x + 100$

Factor. $150 r ^ { 2 } - 30 T ^ { 2 }$

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

Factor. $102 y ^ { 2 } - 17 y ^ { 3 } + 119 y ^ { 4 }$

Factor. $10 x y - 2 x ^ { 2 } y ^ { 2 }$

Factor completely. Check by multiplying the factors. $y m ^ { 2 } - 8 y m + 16 y$

Find the product. $( x + 3 ) ^ { 2 }$

Factor the trinomial completely. $m ^ { 2 } - 4 m - 21$