Question 1

Factor completely. Check by multiplying the factors. $4 a ^ { 2 } + 40 a + 100$

Accepted Answer

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

Question 2

Factor the trinomial completely. $r ^ { 2 } - 8 r - 128$

Accepted Answer

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

Question 3

Factor completely. $121 x ^ { 2 } - 77 x + 10$

Accepted Answer

The answer of Factor completely. \(121 x ^ { 2...

Question 4

Find the product. $\left( \frac { 1 } { 2 } x - 4 \right) \left( \frac { 1 } { 4 } x - 8 \right)$

Accepted Answer

The answer of Find the product. \(\left( \frac { 1...

Question 5

Find the product. $( x - 5 ) ( x + 11 )$

Accepted Answer

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

Question 6

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

Accepted Answer

A)  $2 x ^ { 2 } + 18$ 
B)  $2 x ^ { 2 } + 30 x + 18$ 
C)  $2 x ^ { 2 } + 6 x + 18$ 
D)  $2 x ^ { 2 } + 3 x + 18$ 
E)  $2 x ^ { 2 } + 15 x + 18$ 
A)  $2 x ^ { 2 } + 18$ 
B)  $2 x ^ { 2 } + 30 x + 18$ 
C)  $2 x ^ { 2 } + 6 x + 18$ 
D)  $2 x ^ { 2 } + 3 x + 18$ 
E)  $2 x ^ { 2 } + 15 x + 18$

Question 7

Find the product. $( 3 x - 5 ) ( 2 x - 4 )$

Accepted Answer

A)  $6 x ^ { 2 } - 44 x + 20$ 
B)  $6 x ^ { 2 } - 8 x + 20$ 
C)  $6 x ^ { 2 } + 20$ 
D)  $6 x ^ { 2 } - 15 x + 20$ 
E)  $6 x ^ { 2 } - 22 x + 20$ 
A)  $6 x ^ { 2 } - 44 x + 20$ 
B)  $6 x ^ { 2 } - 8 x + 20$ 
C)  $6 x ^ { 2 } + 20$ 
D)  $6 x ^ { 2 } - 15 x + 20$ 
E)  $6 x ^ { 2 } - 22 x + 20$

Question 8

Factor completely. $48 b x ^ { 2 } - 16 b x - 4 b$

Accepted Answer

The answer of Factor completely. \(48 b x ^ {...

Question 9

Find the product. $( 2 x + 3 ) ( 2 x - 4 )$

Accepted Answer

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

Question 10

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

Accepted Answer

The answer of Find the product. \(( z y -...

Question 11

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

Accepted Answer

A)  $( 5 - x y ) ( 5 - x y )$ 
B)  $( 1 - x y ) ( 25 + x y )$ 
C)  $\left( 5 - x ^ { 2 } \right) \left( 5 - y ^ { 2 } \right)$ 
D)  $( 25 - x y ) ( 1 + x y )$ 
E)  $( 5 + x y ) ( 5 + x y )$ 
A)  $( 5 - x y ) ( 5 - x y )$ 
B)  $( 1 - x y ) ( 25 + x y )$ 
C)  $\left( 5 - x ^ { 2 } \right) \left( 5 - y ^ { 2 } \right)$ 
D)  $( 25 - x y ) ( 1 + x y )$ 
E)  $( 5 + x y ) ( 5 + x y )$

Question 12

Find the product. $( x - 11 ) ( x + 1 )$

Accepted Answer

A)  $x ^ { 2 } - 10 x - 11$ 
B)  $x ^ { 2 } - 20 x - 11$ 
C)  $x ^ { 2 } - 11$ 
D)  $x ^ { 2 } - 11 x - 11$ 
E)  $x ^ { 2 } - x - 11$ 
A)  $x ^ { 2 } - 10 x - 11$ 
B)  $x ^ { 2 } - 20 x - 11$ 
C)  $x ^ { 2 } - 11$ 
D)  $x ^ { 2 } - 11 x - 11$ 
E)  $x ^ { 2 } - x - 11$

Question 13

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

Accepted Answer

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

Question 14

Factor. $400 r ^ { 2 } - 80 T ^ { 2 }$

Accepted Answer

The answer of Factor. \(400 r ^ { 2 }...

Question 15

Find the product. (x - 1) 2

Accepted Answer

A)  x 2 + 1 
B)  x 2 + 2x + 1 
C)  x 2 - 2x + 1 
D)  x 2 - 1 
A)  x 2 + 1 
B)  x 2 + 2x + 1 
C)  x 2 - 2x + 1 
D)  x 2 - 1

Question 16

Factor. $24 a ^ { 2 } - 24 b ^ { 2 }$

Accepted Answer

A)  $24 \left( a ^ { 2 } - b ^ { 2 } \right)$ 
B)  $24 a b ( a - b )$ 
C)  $24 a \left( a - b ^ { 2 } \right)$ 
D)  $24 b \left( a ^ { 2 } - b \right)$ 
E)  $24 a b \left( a ^ { 2 } - b \right)$ 
A)  $24 \left( a ^ { 2 } - b ^ { 2 } \right)$ 
B)  $24 a b ( a - b )$ 
C)  $24 a \left( a - b ^ { 2 } \right)$ 
D)  $24 b \left( a ^ { 2 } - b \right)$ 
E)  $24 a b \left( a ^ { 2 } - b \right)$

Question 17

Factor. $- 35 x ^ { 2 } y ^ { 3 } - 42 x ^ { 2 } y ^ { 4 } - 21 x ^ { 2 } y ^ { 5 }$

Accepted Answer

The answer of Factor. \(- 35 x ^ { 2...

Question 18

Factor. $76 m ^ { 2 } n ^ { 2 } - 19 m n$

Accepted Answer

A)  $19 m n ( 4 m n - n )$ 
B)  $19 m \left( 4 m n ^ { 2 } - 1 \right)$ 
C)  $19 n \left( 4 m n ^ { 2 } - 1 \right)$ 
D)  $19 m n ( 4 m n - 1 )$ 
E)  $76 m n ( 4 m n - 1 )$ 
A)  $19 m n ( 4 m n - n )$ 
B)  $19 m \left( 4 m n ^ { 2 } - 1 \right)$ 
C)  $19 n \left( 4 m n ^ { 2 } - 1 \right)$ 
D)  $19 m n ( 4 m n - 1 )$ 
E)  $76 m n ( 4 m n - 1 )$

Question 19

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

Accepted Answer

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

Question 20

Find the product. $( 6 x + 8 ) ( 5 x - 4 )$

Accepted Answer

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

Factor completely. Check by multiplying the factors. $4 a ^ { 2 } + 40 a + 100$

Factor the trinomial completely. $r ^ { 2 } - 8 r - 128$

Factor completely. $121 x ^ { 2 } - 77 x + 10$

Find the product. $\left( \frac { 1 } { 2 } x - 4 \right) \left( \frac { 1 } { 4 } x - 8 \right)$

Find the product. $( x - 5 ) ( x + 11 )$

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

Find the product. $( 3 x - 5 ) ( 2 x - 4 )$

Factor completely. $48 b x ^ { 2 } - 16 b x - 4 b$

Find the product. $( 2 x + 3 ) ( 2 x - 4 )$

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

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

Find the product. $( x - 11 ) ( x + 1 )$

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

Factor. $400 r ^ { 2 } - 80 T ^ { 2 }$

Find the product. (x - 1) ²

Factor. $24 a ^ { 2 } - 24 b ^ { 2 }$

Factor. $- 35 x ^ { 2 } y ^ { 3 } - 42 x ^ { 2 } y ^ { 4 } - 21 x ^ { 2 } y ^ { 5 }$

Factor. $76 m ^ { 2 } n ^ { 2 } - 19 m n$

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

Find the product. $( 6 x + 8 ) ( 5 x - 4 )$

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. 4a2+40a+1004 a ^ { 2 } + 40 a + 1004a2+40a+100

Factor the trinomial completely. r2−8r−128r ^ { 2 } - 8 r - 128r2−8r−128

Factor completely. 121x2−77x+10121 x ^ { 2 } - 77 x + 10121x2−77x+10

Find the product. (12x−4)(14x−8)\left( \frac { 1 } { 2 } x - 4 \right) \left( \frac { 1 } { 4 } x - 8 \right)(21​x−4)(41​x−8)

Find the product. (x−5)(x+11)( x - 5 ) ( x + 11 )(x−5)(x+11)

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

Find the product. (3x−5)(2x−4)( 3 x - 5 ) ( 2 x - 4 )(3x−5)(2x−4)

Factor completely. 48bx2−16bx−4b48 b x ^ { 2 } - 16 b x - 4 b48bx2−16bx−4b

Find the product. (2x+3)(2x−4)( 2 x + 3 ) ( 2 x - 4 )(2x+3)(2x−4)

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

Factor completely. Check by multiplying the factors. 25−x2y225 - x ^ { 2 } y ^ { 2 }25−x2y2

Find the product. (x−11)(x+1)( x - 11 ) ( x + 1 )(x−11)(x+1)

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

Factor. 400r2−80T2400 r ^ { 2 } - 80 T ^ { 2 }400r2−80T2

Find the product. (x - 1) 2

Factor. 24a2−24b224 a ^ { 2 } - 24 b ^ { 2 }24a2−24b2

Factor. −35x2y3−42x2y4−21x2y5- 35 x ^ { 2 } y ^ { 3 } - 42 x ^ { 2 } y ^ { 4 } - 21 x ^ { 2 } y ^ { 5 }−35x2y3−42x2y4−21x2y5

Factor. 76m2n2−19mn76 m ^ { 2 } n ^ { 2 } - 19 m n76m2n2−19mn

Factor completely. Check by multiplying the factors. b2−4b+4b ^ { 2 } - 4 b + 4b2−4b+4

Find the product. (6x+8)(5x−4)( 6 x + 8 ) ( 5 x - 4 )(6x+8)(5x−4)

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. $4 a ^ { 2 } + 40 a + 100$

Factor the trinomial completely. $r ^ { 2 } - 8 r - 128$

Factor completely. $121 x ^ { 2 } - 77 x + 10$

Find the product. $\left( \frac { 1 } { 2 } x - 4 \right) \left( \frac { 1 } { 4 } x - 8 \right)$

Find the product. $( x - 5 ) ( x + 11 )$

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

Find the product. $( 3 x - 5 ) ( 2 x - 4 )$

Factor completely. $48 b x ^ { 2 } - 16 b x - 4 b$

Find the product. $( 2 x + 3 ) ( 2 x - 4 )$

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

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

Find the product. $( x - 11 ) ( x + 1 )$

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

Factor. $400 r ^ { 2 } - 80 T ^ { 2 }$

Find the product. (x - 1) ²

Factor. $24 a ^ { 2 } - 24 b ^ { 2 }$

Factor. $- 35 x ^ { 2 } y ^ { 3 } - 42 x ^ { 2 } y ^ { 4 } - 21 x ^ { 2 } y ^ { 5 }$

Factor. $76 m ^ { 2 } n ^ { 2 } - 19 m n$

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

Find the product. $( 6 x + 8 ) ( 5 x - 4 )$