Question 1

Factor the trinomial completely. $7 x ^ { 2 } - 70 x + 147$

Accepted Answer

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

Question 2

Find the product. $( 10 x + 8 ) ( 12 x - 4 )$

Accepted Answer

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

Question 3

Find the product. $( 7 y + 9 )$   $( 7 y - 9 )$

Accepted Answer

A)  $49 y ^ { 2 } + 126 y - 81$ 
B)  $49 y ^ { 2 } + 126 y + 81$ 
C)  $49 y ^ { 2 } - 126 y + 81$ 
D)  $49 y ^ { 2 } - 81$ 
E)  $7 y ^ { 2 } + 81$ 
A)  $49 y ^ { 2 } + 126 y - 81$ 
B)  $49 y ^ { 2 } + 126 y + 81$ 
C)  $49 y ^ { 2 } - 126 y + 81$ 
D)  $49 y ^ { 2 } - 81$ 
E)  $7 y ^ { 2 } + 81$

Question 4

Factor completely. Check by multiplying the factors. $25 b ^ { 2 } - 4$

Accepted Answer

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

Question 5

Factor completely. $20 x ^ { 2 } - x - 30$

Accepted Answer

The answer of Factor completely. \(20 x ^ { 2...

Question 6

Factor the trinomial completely. $x ^ { 2 } - 4 x - 12$

Accepted Answer

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

Question 7

Find the product. $( x - 13 )$ $( x + 13 )$

Accepted Answer

A)  $x ^ { 2 } - 26 x - 169$ 
B)  $x ^ { 2 } - 169$ 
C)  $x ^ { 2 } - 26 x + 169$ 
D)  $x ^ { 2 } + 26 x + 169$ 
E)  $x ^ { 2 } - 169$ 
A)  $x ^ { 2 } - 26 x - 169$ 
B)  $x ^ { 2 } - 169$ 
C)  $x ^ { 2 } - 26 x + 169$ 
D)  $x ^ { 2 } + 26 x + 169$ 
E)  $x ^ { 2 } - 169$

Question 8

Find the product. $( x y - 4 ) ^ { 2 }$

Accepted Answer

A)  $x ^ { 2 } y ^ { 2 } + 8 x y + 16$ 
B)  $x ^ { 2 } y ^ { 2 } - 8 x y + 16$ 
C)  $x ^ { 2 } y ^ { 2 } - 8 x y - 16$ 
D)  $x ^ { 2 } y ^ { 2 } + 16$ 
E)  $x ^ { 2 } y ^ { 2 } - 16$ 
A)  $x ^ { 2 } y ^ { 2 } + 8 x y + 16$ 
B)  $x ^ { 2 } y ^ { 2 } - 8 x y + 16$ 
C)  $x ^ { 2 } y ^ { 2 } - 8 x y - 16$ 
D)  $x ^ { 2 } y ^ { 2 } + 16$ 
E)  $x ^ { 2 } y ^ { 2 } - 16$

Question 9

Factor completely. $56 x ^ { 2 } - 113 x + 56$

Accepted Answer

A)  $( x - 7 ) ( 56 x - 8 )$ 
B)  $( 8 x - 7 ) ( 7 x - 8 )$ 
C)  $( 8 x + 7 ) ( 7 x - 8 )$ 
D)  $( 56 x - 7 ) ( x - 8 )$ 
E)  $( 8 x + 56 ) ( 7 x - 1 )$ 
A)  $( x - 7 ) ( 56 x - 8 )$ 
B)  $( 8 x - 7 ) ( 7 x - 8 )$ 
C)  $( 8 x + 7 ) ( 7 x - 8 )$ 
D)  $( 56 x - 7 ) ( x - 8 )$ 
E)  $( 8 x + 56 ) ( 7 x - 1 )$

Question 10

Factor. $8 x ^ { 2 } y z ^ { 4 } - 10 x ^ { 3 } y ^ { 2 } z ^ { 2 } + 14 x ^ { 2 } y ^ { 3 } z ^ { 2 }$

Accepted Answer

A)  $2 x ^ { 2 } y z ^ { 2 } \left( 4 z - 5 x y + 7 y ^ { 2 } \right)$ 
B)  $2 x ^ { 2 } y z ^ { 2 } \left( 4 z ^ { 2 } - 5 x + 7 y ^ { 2 } \right)$ 
C)  $2 x ^ { 2 } y z ^ { 2 } \left( 4 z ^ { 2 } - 5 x y + 7 y ^ { 2 } \right)$ 
D)  $2 x y z ^ { 2 } \left( 4 z ^ { 2 } - 5 x y + 7 y ^ { 2 } \right)$ 
E)  $2 x ^ { 2 } y z ^ { 2 } \left( 4 z ^ { 2 } - 5 x y + 7 y ^ { 2 } \right)$ 
A)  $2 x ^ { 2 } y z ^ { 2 } \left( 4 z - 5 x y + 7 y ^ { 2 } \right)$ 
B)  $2 x ^ { 2 } y z ^ { 2 } \left( 4 z ^ { 2 } - 5 x + 7 y ^ { 2 } \right)$ 
C)  $2 x ^ { 2 } y z ^ { 2 } \left( 4 z ^ { 2 } - 5 x y + 7 y ^ { 2 } \right)$ 
D)  $2 x y z ^ { 2 } \left( 4 z ^ { 2 } - 5 x y + 7 y ^ { 2 } \right)$ 
E)  $2 x ^ { 2 } y z ^ { 2 } \left( 4 z ^ { 2 } - 5 x y + 7 y ^ { 2 } \right)$

Question 11

Factor the trinomial completely. $x ^ { 2 } + 6 x + 9$

Accepted Answer

A)  $( x + 3 ) ^ { 2 }$ 
B)  $( x + 3 ) ( x - 3 )$ 
C)  $( x - 3 ) ^ { 2 }$ 
D)  $( x + 9 ) ( x + 1 )$ 
E)  not factorable 
A)  $( x + 3 ) ^ { 2 }$ 
B)  $( x + 3 ) ( x - 3 )$ 
C)  $( x - 3 ) ^ { 2 }$ 
D)  $( x + 9 ) ( x + 1 )$ 
E)  not factorable

Question 12

Factor completely. $5 a ^ { 2 } - 16 a - 45$

Accepted Answer

A)  $( 5 a - 45 ) ( a + 1 )$ 
B)  $( 5 a + 9 ) ( a - 5 )$ 
C)  $( 5 a - 9 ) ( a + 5 )$ 
D)  $( 5 a - 1 ) ( a + 45 )$ 
E)  Not factorable 
A)  $( 5 a - 45 ) ( a + 1 )$ 
B)  $( 5 a + 9 ) ( a - 5 )$ 
C)  $( 5 a - 9 ) ( a + 5 )$ 
D)  $( 5 a - 1 ) ( a + 45 )$ 
E)  Not factorable

Question 13

Factor. $8 x ^ { 2 } - 24 x$

Accepted Answer

The answer of Factor. \(8 x ^ { 2 }...

Question 14

Find the product. $( x - 9 ) ( x + 5 )$

Accepted Answer

The answer of Find the product. \(( x - 9...

Question 15

Find the product. $( 3 x - 8 ) ( 2 x - 6 )$

Accepted Answer

The answer of Find the product. \(( 3 x -...

Question 16

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

Accepted Answer

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

Question 17

Find the product. $\left( a + x ^ { 2 } \right)$ $\left( a - x ^ { 2 } \right)$

Accepted Answer

A)  $a ^ { 2 } - 2 a x ^ { 2 } + x ^ { 4 }$ 
B)  $a ^ { 2 } + x ^ { 4 }$ 
C)  $a ^ { 2 } - 2 a x ^ { 2 } - x ^ { 4 }$ 
D)  $a ^ { 2 } + 2 a x ^ { 2 } + x ^ { 4 }$ 
E)  $a ^ { 2 } - x ^ { 4 }$ 
A)  $a ^ { 2 } - 2 a x ^ { 2 } + x ^ { 4 }$ 
B)  $a ^ { 2 } + x ^ { 4 }$ 
C)  $a ^ { 2 } - 2 a x ^ { 2 } - x ^ { 4 }$ 
D)  $a ^ { 2 } + 2 a x ^ { 2 } + x ^ { 4 }$ 
E)  $a ^ { 2 } - x ^ { 4 }$

Question 18

Find the product. $\left( y ^ { 2 } + 6 \right)$   $\left( y ^ { 2 } - 6 \right)$

Accepted Answer

The answer of Find the product. \(\left( y ^ {...

Question 19

Factor. $8 a + 8$

Accepted Answer

A)  $8 ( a + 1 )$ 
B)  $8 ( a + 8 )$ 
C)  $( a + 8 )$ 
D)  $8 ( 8 a + 1 )$ 
E)  $( a + 1 )$ 
A)  $8 ( a + 1 )$ 
B)  $8 ( a + 8 )$ 
C)  $( a + 8 )$ 
D)  $8 ( 8 a + 1 )$ 
E)  $( a + 1 )$

Question 20

Factor the trinomial completely. $z ^ { 2 } + 23 z - 78$

Accepted Answer

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

Factor the trinomial completely. $7 x ^ { 2 } - 70 x + 147$

Find the product. $( 10 x + 8 ) ( 12 x - 4 )$

Find the product. $( 7 y + 9 )$ $( 7 y - 9 )$

Factor completely. Check by multiplying the factors. $25 b ^ { 2 } - 4$

Factor completely. $20 x ^ { 2 } - x - 30$

Factor the trinomial completely. $x ^ { 2 } - 4 x - 12$

Find the product. $( x - 13 )$ $( x + 13 )$

Find the product. $( x y - 4 ) ^ { 2 }$

Factor completely. $56 x ^ { 2 } - 113 x + 56$

Factor. $8 x ^ { 2 } y z ^ { 4 } - 10 x ^ { 3 } y ^ { 2 } z ^ { 2 } + 14 x ^ { 2 } y ^ { 3 } z ^ { 2 }$

Factor the trinomial completely. $x ^ { 2 } + 6 x + 9$

Factor completely. $5 a ^ { 2 } - 16 a - 45$

Factor. $8 x ^ { 2 } - 24 x$

Find the product. $( x - 9 ) ( x + 5 )$

Find the product. $( 3 x - 8 ) ( 2 x - 6 )$

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

Find the product. $\left( a + x ^ { 2 } \right)$ $\left( a - x ^ { 2 } \right)$

Find the product. $\left( y ^ { 2 } + 6 \right)$ $\left( y ^ { 2 } - 6 \right)$

Factor. $8 a + 8$

Factor the trinomial completely. $z ^ { 2 } + 23 z - 78$

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. 7x2−70x+1477 x ^ { 2 } - 70 x + 1477x2−70x+147

Find the product. (10x+8)(12x−4)( 10 x + 8 ) ( 12 x - 4 )(10x+8)(12x−4)

Find the product. (7y+9)( 7 y + 9 )(7y+9) (7y−9)( 7 y - 9 )(7y−9)

Factor completely. Check by multiplying the factors. 25b2−425 b ^ { 2 } - 425b2−4

Factor completely. 20x2−x−3020 x ^ { 2 } - x - 3020x2−x−30

Factor the trinomial completely. x2−4x−12x ^ { 2 } - 4 x - 12x2−4x−12

Find the product. (x−13)( x - 13 )(x−13) (x+13)( x + 13 )(x+13)

Find the product. (xy−4)2( x y - 4 ) ^ { 2 }(xy−4)2

Factor completely. 56x2−113x+5656 x ^ { 2 } - 113 x + 5656x2−113x+56

Factor. 8x2yz4−10x3y2z2+14x2y3z28 x ^ { 2 } y z ^ { 4 } - 10 x ^ { 3 } y ^ { 2 } z ^ { 2 } + 14 x ^ { 2 } y ^ { 3 } z ^ { 2 }8x2yz4−10x3y2z2+14x2y3z2

Factor the trinomial completely. x2+6x+9x ^ { 2 } + 6 x + 9x2+6x+9

Factor completely. 5a2−16a−455 a ^ { 2 } - 16 a - 455a2−16a−45

Factor. 8x2−24x8 x ^ { 2 } - 24 x8x2−24x

Find the product. (x−9)(x+5)( x - 9 ) ( x + 5 )(x−9)(x+5)

Find the product. (3x−8)(2x−6)( 3 x - 8 ) ( 2 x - 6 )(3x−8)(2x−6)

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

Find the product. (a+x2)\left( a + x ^ { 2 } \right)(a+x2) (a−x2)\left( a - x ^ { 2 } \right)(a−x2)

Find the product. (y2+6)\left( y ^ { 2 } + 6 \right)(y2+6) (y2−6)\left( y ^ { 2 } - 6 \right)(y2−6)

Factor. 8a+88 a + 88a+8

Factor the trinomial completely. z2+23z−78z ^ { 2 } + 23 z - 78z2+23z−78

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. $7 x ^ { 2 } - 70 x + 147$

Find the product. $( 10 x + 8 ) ( 12 x - 4 )$

Find the product. $( 7 y + 9 )$ $( 7 y - 9 )$

Factor completely. Check by multiplying the factors. $25 b ^ { 2 } - 4$

Factor completely. $20 x ^ { 2 } - x - 30$

Factor the trinomial completely. $x ^ { 2 } - 4 x - 12$

Find the product. $( x - 13 )$ $( x + 13 )$

Find the product. $( x y - 4 ) ^ { 2 }$

Factor completely. $56 x ^ { 2 } - 113 x + 56$

Factor. $8 x ^ { 2 } y z ^ { 4 } - 10 x ^ { 3 } y ^ { 2 } z ^ { 2 } + 14 x ^ { 2 } y ^ { 3 } z ^ { 2 }$

Factor the trinomial completely. $x ^ { 2 } + 6 x + 9$

Factor completely. $5 a ^ { 2 } - 16 a - 45$

Factor. $8 x ^ { 2 } - 24 x$

Find the product. $( x - 9 ) ( x + 5 )$

Find the product. $( 3 x - 8 ) ( 2 x - 6 )$

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

Find the product. $\left( a + x ^ { 2 } \right)$ $\left( a - x ^ { 2 } \right)$

Find the product. $\left( y ^ { 2 } + 6 \right)$ $\left( y ^ { 2 } - 6 \right)$

Factor. $8 a + 8$

Factor the trinomial completely. $z ^ { 2 } + 23 z - 78$