Question 1

Factor the trinomial completely. $x ^ { 2 } - 10 x + 16$

Accepted Answer

A)  $( x + 2 ) ( x + 8 )$ 
B)  $( x - 2 ) ( x - 8 )$ 
C)  $( x + 2 ) ( x - 8 )$ 
D)  $( x - 2 ) ( x + 8 )$ 
E)  not factorable 
A)  $( x + 2 ) ( x + 8 )$ 
B)  $( x - 2 ) ( x - 8 )$ 
C)  $( x + 2 ) ( x - 8 )$ 
D)  $( x - 2 ) ( x + 8 )$ 
E)  not factorable

Question 2

Factor. $11 a + 11$

Accepted Answer

The answer of Factor. $11 a + 11$...

Question 3

Factor the trinomial completely. $y ^ { 2 } - 23 y + 120$

Accepted Answer

A)  $( y + 15 ) ( y + 8 )$ 
B)  $( y + 15 ) ( y + 8 )$ 
C)  $( y + 15 ) ( y - 8 )$ 
D)  $( y - 15 ) ( y - 8 )$ 
E)  not factorable 
A)  $( y + 15 ) ( y + 8 )$ 
B)  $( y + 15 ) ( y + 8 )$ 
C)  $( y + 15 ) ( y - 8 )$ 
D)  $( y - 15 ) ( y - 8 )$ 
E)  not factorable

Question 4

Factor completely. $320 x ^ { 3 } + 240 x ^ { 2 } + 45 x$

Accepted Answer

A)  $\left( 40 x ^ { 2 } + 15 \right) ( 8 x + 3 )$ 
B)  $5 x ( 8 x + 3 ) ( 8 x + 3 )$ 
C)  $5 x ( 8 x - 3 ) ( 8 x - 3 )$ 
D)  $\left( 40 x ^ { 2 } + 15 \right) ( 8 x + 3 )$ 
E)  Not factorable 
A)  $\left( 40 x ^ { 2 } + 15 \right) ( 8 x + 3 )$ 
B)  $5 x ( 8 x + 3 ) ( 8 x + 3 )$ 
C)  $5 x ( 8 x - 3 ) ( 8 x - 3 )$ 
D)  $\left( 40 x ^ { 2 } + 15 \right) ( 8 x + 3 )$ 
E)  Not factorable

Question 5

Factor the trinomial completely. $x ^ { 3 } - 6 x ^ { 2 } - 40 x$

Accepted Answer

A)  $x ( x - 10 ) ( x + 4 )$ 
B)  $x ( x + 10 ) ( x - 4 )$ 
C)  $x ( x + 10 ) ( x + 4 )$ 
D)  $x ( x - 10 ) ( x - 4 )$ 
E)  not factorable 
A)  $x ( x - 10 ) ( x + 4 )$ 
B)  $x ( x + 10 ) ( x - 4 )$ 
C)  $x ( x + 10 ) ( x + 4 )$ 
D)  $x ( x - 10 ) ( x - 4 )$ 
E)  not factorable

Question 6

Factor the trinomial completely. $x ^ { 2 } - 6 x + 8$

Accepted Answer

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

Question 7

Factor completely. Check by multiplying the factors. $81 x ^ { 2 } - 25$

Accepted Answer

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

Question 8

Factor completely. Check by multiplying the factors. $p ^ { 2 } - s ^ { 2 }$

Accepted Answer

A)  $( p - s ) ( p - s )$ 
B)    $( p - s ) s$ 
C)  $p ( p + s )$ 
D)  $( p - s ) ( p + s )$ 
E)  $( p + s ) s$ 
A)  $( p - s ) ( p - s )$ 
B)    $( p - s ) s$ 
C)  $p ( p + s )$ 
D)  $( p - s ) ( p + s )$ 
E)  $( p + s ) s$

Question 9

Find the product. $( x + 4 ) ( 2 x + 7 )$

Accepted Answer

A)  $2 x ^ { 2 } + 15 x + 28$ 
B)  $17 x + 28$ 
C)  $2 x ^ { 2 } + 28$ 
D)  $2 x ^ { 2 } + 16 x + 28$ 
E)  $2 x ^ { 2 } + 7 x + 28$ 
A)  $2 x ^ { 2 } + 15 x + 28$ 
B)  $17 x + 28$ 
C)  $2 x ^ { 2 } + 28$ 
D)  $2 x ^ { 2 } + 16 x + 28$ 
E)  $2 x ^ { 2 } + 7 x + 28$

Question 10

Factor the trinomial completely. $x ^ { 2 } + 9 x + 20$

Accepted Answer

A)  $( x - 4 ) ( x + 5 )$ 
B)  $( x - 4 ) ( x - 5 )$ 
C)  $( x + 4 ) ( x - 5 )$ 
D)  $( x + 4 ) ( x + 5 )$ 
E)  not factorable 
A)  $( x - 4 ) ( x + 5 )$ 
B)  $( x - 4 ) ( x - 5 )$ 
C)  $( x + 4 ) ( x - 5 )$ 
D)  $( x + 4 ) ( x + 5 )$ 
E)  not factorable

Question 11

Factor completely. $8 x ^ { 2 } - x - 27$

Accepted Answer

A)  $( 2 x + 27 ) ( 4 x - 1 )$ 
B)  $( 2 x + 6 ) ( 4 x - 9 )$ 
C)  $( 2 x + 3 ) ( 4 x - 9 )$ 
D)  $( 2 x + 1 ) ( 4 x - 27 )$ 
E)  $( 2 x - 3 ) ( 4 x + 9 )$ 
A)  $( 2 x + 27 ) ( 4 x - 1 )$ 
B)  $( 2 x + 6 ) ( 4 x - 9 )$ 
C)  $( 2 x + 3 ) ( 4 x - 9 )$ 
D)  $( 2 x + 1 ) ( 4 x - 27 )$ 
E)  $( 2 x - 3 ) ( 4 x + 9 )$

Question 12

Find the product. $( x - 3 ) ( x + 14 )$

Accepted Answer

A)  $x ^ { 2 } - 42$ 
B)  $x ^ { 2 } + 11 x - 42$ 
C)  $x ^ { 2 } + 22 x - 42$ 
D)  $x ^ { 2 } + 3 x - 42$ 
E)  $x ^ { 2 } + 14 x - 42$ 
A)  $x ^ { 2 } - 42$ 
B)  $x ^ { 2 } + 11 x - 42$ 
C)  $x ^ { 2 } + 22 x - 42$ 
D)  $x ^ { 2 } + 3 x - 42$ 
E)  $x ^ { 2 } + 14 x - 42$

Question 13

Factor completely. Check by multiplying the factors. $y ^ { 2 } - 64$

Accepted Answer

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

Question 14

Factor. $5 x y - 10 y$

Accepted Answer

The answer of Factor. $5 x y - 10 y$...

Question 15

Find the product. $( r - 11 ) ^ { 2 }$

Accepted Answer

A)  $r ^ { 2 } + 22 r + 121$ 
B)  $r ^ { 2 } - 121$ 
C)  $r ^ { 2 } - 121$ 
D)  $r ^ { 2 } - 22 r + 121$ 
E)  $r ^ { 2 } - 22 r - 121$ 
A)  $r ^ { 2 } + 22 r + 121$ 
B)  $r ^ { 2 } - 121$ 
C)  $r ^ { 2 } - 121$ 
D)  $r ^ { 2 } - 22 r + 121$ 
E)  $r ^ { 2 } - 22 r - 121$

Question 16

Factor. $7 y - 35$

Accepted Answer

A)  $7 y ( y - 5 )$ 
B)  $7 ( y - 5 )$ 
C)  $7 y ( 7 y - 5 )$ 
D)  $7 ( y - 35 )$ 
E)  $5 ( y - 7 )$ 
A)  $7 y ( y - 5 )$ 
B)  $7 ( y - 5 )$ 
C)  $7 y ( 7 y - 5 )$ 
D)  $7 ( y - 35 )$ 
E)  $5 ( y - 7 )$

Question 17

Find the product. $( z y - x ) ( z y + x )$

Accepted Answer

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

Question 18

Factor. $2 x y - 8 y$

Accepted Answer

A)  $2 y ( x - 4 )$ 
B)  $2 x ( x - 4 )$ 
C)  $y ( 2 x - 8 )$ 
D)  $2 y ( y - 4 )$ 
E)  $2 y ( x y - 4 )$ 
A)  $2 y ( x - 4 )$ 
B)  $2 x ( x - 4 )$ 
C)  $y ( 2 x - 8 )$ 
D)  $2 y ( y - 4 )$ 
E)  $2 y ( x y - 4 )$

Question 19

Factor completely. $72 b x ^ { 2 } - 42 b x - 9 b$

Accepted Answer

A)  $3 b ( 6 x + 1 ) ( 4 x - 3 )$ 
B)  $b ( 6 x + 1 ) ( 4 x - 3 )$ 
C)  $3 b ( 6 x - 1 ) ( 4 x - 6 )$ 
D)  $3 b ( 6 x - 1 ) ( 4 x + 3 )$ 
E)  $3 b ( 6 x - 1 ) ( 4 x - 3 )$ 
A)  $3 b ( 6 x + 1 ) ( 4 x - 3 )$ 
B)  $b ( 6 x + 1 ) ( 4 x - 3 )$ 
C)  $3 b ( 6 x - 1 ) ( 4 x - 6 )$ 
D)  $3 b ( 6 x - 1 ) ( 4 x + 3 )$ 
E)  $3 b ( 6 x - 1 ) ( 4 x - 3 )$

Question 20

Factor completely. Check by multiplying the factors. $6 c ^ { 2 } - 12 c + 6$

Accepted Answer

A)  $( 6 c - 6 ) ( c - 1 )$ 
B)  $6 ( c + 1 ) ( c + 1 )$ 
C)  $6 ( c - 1 ) ( c + 1 )$ 
D)  $( 6 c + 6 ) ( c + 1 )$ 
E)  $6 ( c - 1 ) ( c - 1 )$ 
A)  $( 6 c - 6 ) ( c - 1 )$ 
B)  $6 ( c + 1 ) ( c + 1 )$ 
C)  $6 ( c - 1 ) ( c + 1 )$ 
D)  $( 6 c + 6 ) ( c + 1 )$ 
E)  $6 ( c - 1 ) ( c - 1 )$

Factor the trinomial completely. $x ^ { 2 } - 10 x + 16$

Factor. $11 a + 11$

Factor the trinomial completely. $y ^ { 2 } - 23 y + 120$

Factor completely. $320 x ^ { 3 } + 240 x ^ { 2 } + 45 x$

Factor the trinomial completely. $x ^ { 3 } - 6 x ^ { 2 } - 40 x$

Factor the trinomial completely. $x ^ { 2 } - 6 x + 8$

Factor completely. Check by multiplying the factors. $81 x ^ { 2 } - 25$

Factor completely. Check by multiplying the factors. $p ^ { 2 } - s ^ { 2 }$

Find the product. $( x + 4 ) ( 2 x + 7 )$

Factor the trinomial completely. $x ^ { 2 } + 9 x + 20$

Factor completely. $8 x ^ { 2 } - x - 27$

Find the product. $( x - 3 ) ( x + 14 )$

Factor completely. Check by multiplying the factors. $y ^ { 2 } - 64$

Factor. $5 x y - 10 y$

Find the product. $( r - 11 ) ^ { 2 }$

Factor. $7 y - 35$

Find the product. $( z y - x ) ( z y + x )$

Factor. $2 x y - 8 y$

Factor completely. $72 b x ^ { 2 } - 42 b x - 9 b$

Factor completely. Check by multiplying the factors. $6 c ^ { 2 } - 12 c + 6$

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 the trinomial completely. x2−10x+16x ^ { 2 } - 10 x + 16x2−10x+16

Factor. 11a+1111 a + 1111a+11

Factor the trinomial completely. y2−23y+120y ^ { 2 } - 23 y + 120y2−23y+120

Factor completely. 320x3+240x2+45x320 x ^ { 3 } + 240 x ^ { 2 } + 45 x320x3+240x2+45x

Factor the trinomial completely. x3−6x2−40xx ^ { 3 } - 6 x ^ { 2 } - 40 xx3−6x2−40x

Factor the trinomial completely. x2−6x+8x ^ { 2 } - 6 x + 8x2−6x+8

Factor completely. Check by multiplying the factors. 81x2−2581 x ^ { 2 } - 2581x2−25

Factor completely. Check by multiplying the factors. p2−s2p ^ { 2 } - s ^ { 2 }p2−s2

Find the product. (x+4)(2x+7)( x + 4 ) ( 2 x + 7 )(x+4)(2x+7)

Factor the trinomial completely. x2+9x+20x ^ { 2 } + 9 x + 20x2+9x+20

Factor completely. 8x2−x−278 x ^ { 2 } - x - 278x2−x−27

Find the product. (x−3)(x+14)( x - 3 ) ( x + 14 )(x−3)(x+14)

Factor completely. Check by multiplying the factors. y2−64y ^ { 2 } - 64y2−64

Factor. 5xy−10y5 x y - 10 y5xy−10y

Find the product. (r−11)2( r - 11 ) ^ { 2 }(r−11)2

Factor. 7y−357 y - 357y−35

Find the product. (zy−x)(zy+x)( z y - x ) ( z y + x )(zy−x)(zy+x)

Factor. 2xy−8y2 x y - 8 y2xy−8y

Factor completely. 72bx2−42bx−9b72 b x ^ { 2 } - 42 b x - 9 b72bx2−42bx−9b

Factor completely. Check by multiplying the factors. 6c2−12c+66 c ^ { 2 } - 12 c + 66c2−12c+6

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 the trinomial completely. $x ^ { 2 } - 10 x + 16$

Factor. $11 a + 11$

Factor the trinomial completely. $y ^ { 2 } - 23 y + 120$

Factor completely. $320 x ^ { 3 } + 240 x ^ { 2 } + 45 x$

Factor the trinomial completely. $x ^ { 3 } - 6 x ^ { 2 } - 40 x$

Factor the trinomial completely. $x ^ { 2 } - 6 x + 8$

Factor completely. Check by multiplying the factors. $81 x ^ { 2 } - 25$

Factor completely. Check by multiplying the factors. $p ^ { 2 } - s ^ { 2 }$

Find the product. $( x + 4 ) ( 2 x + 7 )$

Factor the trinomial completely. $x ^ { 2 } + 9 x + 20$

Factor completely. $8 x ^ { 2 } - x - 27$

Find the product. $( x - 3 ) ( x + 14 )$

Factor completely. Check by multiplying the factors. $y ^ { 2 } - 64$

Factor. $5 x y - 10 y$

Find the product. $( r - 11 ) ^ { 2 }$

Factor. $7 y - 35$

Find the product. $( z y - x ) ( z y + x )$

Factor. $2 x y - 8 y$

Factor completely. $72 b x ^ { 2 } - 42 b x - 9 b$

Factor completely. Check by multiplying the factors. $6 c ^ { 2 } - 12 c + 6$