Question 1

Factor completely.
-$$4 x ^ { 2 } - 25$$

Accepted Answer

A)  $( 2 x + 5 ) ( 2 x - 5 )$ 
B)  $( 2 x - 5 ) ^ { 2 }$ 
C)  $( 4 x + 1 ) ( x - 25 )$ 
D)  $( 2 x + 5 ) ^ { 2 }$ 
A)  $( 2 x + 5 ) ( 2 x - 5 )$ 
B)  $( 2 x - 5 ) ^ { 2 }$ 
C)  $( 4 x + 1 ) ( x - 25 )$ 
D)  $( 2 x + 5 ) ^ { 2 }$

Question 2

Factor.
-$10 z ^ { 3 } + 11 z ^ { 2 } - 6 z$

Accepted Answer

A)  $z ( 10 z + 1 ) ( z - 6 )$ 
B)  $( 2 z - 3 ) ( 5 z + 2 )$ 
C)  $z ( 2 z + 3 ) ( 5 z - 2 )$ 
D)  $\left( z ^ { 2 } - 2 \right) ( 10 z + 3 )$ 
A)  $z ( 10 z + 1 ) ( z - 6 )$ 
B)  $( 2 z - 3 ) ( 5 z + 2 )$ 
C)  $z ( 2 z + 3 ) ( 5 z - 2 )$ 
D)  $\left( z ^ { 2 } - 2 \right) ( 10 z + 3 )$

Question 3

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

Accepted Answer

A)  $( x - 6 y ) ( x + y )$ 
B)  $( x - 6 y ) ( x + 4 y )$ 
C)  $( x + 6 y ) ( x - 4 y )$ 
D)  $( x - y ) ( x + 4 y )$ 
A)  $( x - 6 y ) ( x + y )$ 
B)  $( x - 6 y ) ( x + 4 y )$ 
C)  $( x + 6 y ) ( x - 4 y )$ 
D)  $( x - y ) ( x + 4 y )$

Question 4

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

Accepted Answer

A)  $( x + 1 ) ( x - 30 )$ 
B)  $( x + 5 ) ( x - 6 )$ 
C)  $( x + 6 ) ( x - 5 )$ 
D)  Prime 
A)  $( x + 1 ) ( x - 30 )$ 
B)  $( x + 5 ) ( x - 6 )$ 
C)  $( x + 6 ) ( x - 5 )$ 
D)  Prime

Question 5

Factor using the ac-method.
-$15 x ^ { 2 } + 19 x + 6$

Accepted Answer

A)  $( 15 x + 2 ) ( x + 3 )$ 
B)  prime 
C)  $( 3 x + 2 ) ( 5 x + 3 )$ 
D)  $( 3 x - 2 ) ( 5 x - 3 )$ 
A)  $( 15 x + 2 ) ( x + 3 )$ 
B)  prime 
C)  $( 3 x + 2 ) ( 5 x + 3 )$ 
D)  $( 3 x - 2 ) ( 5 x - 3 )$

Question 6

Factor.
-$- 42 x ^ { 2 } - 35 x + 42$

Accepted Answer

A)  $7 ( - 3 x + 2 ) ( 2 x + 3 )$ 
B)  $( - 21 x + 14 ) ( 2 x + 3 )$ 
C)  $( - 3 x + 2 ) ( 14 x + 21 )$ 
D)  $7 ( 3 x + 2 ) ( - 2 x + 3 )$ 
A)  $7 ( - 3 x + 2 ) ( 2 x + 3 )$ 
B)  $( - 21 x + 14 ) ( 2 x + 3 )$ 
C)  $( - 3 x + 2 ) ( 14 x + 21 )$ 
D)  $7 ( 3 x + 2 ) ( - 2 x + 3 )$

Question 7

Factor completely.
-$50 a ^ { 4 } b - 18 b ^ { 3 }$

Accepted Answer

A)  $2 b \left( 5 a ^ { 2 } + 3 b \right) \left( 5 a ^ { 2 } - 3 b \right)$ 
B)  $2 b ( 5 a - 3 b ) ^ { 2 }$ 
C)  Prime 
D)  $2 b ( 5 a + 3 b ) ^ { 2 }$ 
A)  $2 b \left( 5 a ^ { 2 } + 3 b \right) \left( 5 a ^ { 2 } - 3 b \right)$ 
B)  $2 b ( 5 a - 3 b ) ^ { 2 }$ 
C)  Prime 
D)  $2 b ( 5 a + 3 b ) ^ { 2 }$

Question 8

Factor using the ac-method.
-$- 24 x ^ { 2 } - 20 x + 24$

Accepted Answer

A)  $( - 12 x + 8 ) ( 2 x + 3 )$ 
B)  $- 4 ( 3 x - 2 ) ( 2 x + 3 )$ 
C)  $- 4 ( 3 x + 2 ) ( 2 x - 3 )$ 
D)  prime 
A)  $( - 12 x + 8 ) ( 2 x + 3 )$ 
B)  $- 4 ( 3 x - 2 ) ( 2 x + 3 )$ 
C)  $- 4 ( 3 x + 2 ) ( 2 x - 3 )$ 
D)  prime

Question 9

Factor.
-$80 z ^ { 8 } + 108 z ^ { 5 } + 36 z ^ { 2 }$

Accepted Answer

A)  $4 z ^ { 2 } \left( 5 z ^ { 3 } - 3 \right) \left( 4 z ^ { 3 } - 3 \right)$ 
B)  $\left( 4 z ^ { 4 } + 4 \right) \left( 5 z ^ { 4 } + 3 \right)$ 
C)  $4 z ^ { 2 } \left( 4 z ^ { 3 } + 3 \right) \left( 5 z ^ { 3 } + 3 \right)$ 
D)  $4 \left( 4 z ^ { 6 } + 3 \right) \left( 5 z ^ { 2 } + 3 \right)$ 
A)  $4 z ^ { 2 } \left( 5 z ^ { 3 } - 3 \right) \left( 4 z ^ { 3 } - 3 \right)$ 
B)  $\left( 4 z ^ { 4 } + 4 \right) \left( 5 z ^ { 4 } + 3 \right)$ 
C)  $4 z ^ { 2 } \left( 4 z ^ { 3 } + 3 \right) \left( 5 z ^ { 3 } + 3 \right)$ 
D)  $4 \left( 4 z ^ { 6 } + 3 \right) \left( 5 z ^ { 2 } + 3 \right)$

Question 10

Factor by grouping.
-$$8 \mathrm { x } ^ { 2 } + 12 \mathrm { x } + 10 \mathrm { x } + 15$$

Accepted Answer

A)  $( 4 x + 5 ) ( 2 x + 3 )$ 
B)  $( 8 x + 5 ) ( x + 3 )$ 
C)  $( 4 x - 5 ) ( 2 x - 3 )$ 
D)  $( 8 x - 5 ) ( x - 3 )$ 
A)  $( 4 x + 5 ) ( 2 x + 3 )$ 
B)  $( 8 x + 5 ) ( x + 3 )$ 
C)  $( 4 x - 5 ) ( 2 x - 3 )$ 
D)  $( 8 x - 5 ) ( x - 3 )$

Question 11

Factor.
-$4 x ^ { 2 } - 9 x + 8$

Accepted Answer

A)  $( 2 x - 8 ) ( 2 x - 1 )$ 
B)  $( 4 x - 8 ) ( x - 1 )$ 
C)  $( 4 x - 1 ) ( x - 8 )$ 
D)  Prime 
A)  $( 2 x - 8 ) ( 2 x - 1 )$ 
B)  $( 4 x - 8 ) ( x - 1 )$ 
C)  $( 4 x - 1 ) ( x - 8 )$ 
D)  Prime

Question 12

Factor.
-$$x ^ { 2 } - x - 63$$

Accepted Answer

A)  $( x + 7 ) ( x - 9 )$ 
B)  $( x - 63 ) ( x + 1 )$ 
C)  Prime 
D)  $( x - 7 ) ( x + 9 )$ 
A)  $( x + 7 ) ( x - 9 )$ 
B)  $( x - 63 ) ( x + 1 )$ 
C)  Prime 
D)  $( x - 7 ) ( x + 9 )$

Question 13

Factor.
-$$3 x ^ { 3 } + 3 x ^ { 2 } - 60 x$$

Accepted Answer

A)  $\left( 3 x ^ { 2 } + 12 x \right) ( x - 5 )$ 
B)  $3 x ( x + 4 ) ( x - 5 )$ 
C)  $( x - 4 ) \left( 3 x ^ { 2 } + 15 \right)$ 
D)  $3 x ( x - 4 ) ( x + 5 )$ 
A)  $\left( 3 x ^ { 2 } + 12 x \right) ( x - 5 )$ 
B)  $3 x ( x + 4 ) ( x - 5 )$ 
C)  $( x - 4 ) \left( 3 x ^ { 2 } + 15 \right)$ 
D)  $3 x ( x - 4 ) ( x + 5 )$

Question 14

Factor completely.
-$$x ^ { 2 } + 6 x y + 9 y ^ { 2 }$$

Accepted Answer

A)  Prime 
B)  $( x + 3 y ) ( x - 3 y )$ 
C)  $( x + 3 y ) ^ { 2 }$ 
D)  $( x - 3 y ) ^ { 2 }$ 
A)  Prime 
B)  $( x + 3 y ) ( x - 3 y )$ 
C)  $( x + 3 y ) ^ { 2 }$ 
D)  $( x - 3 y ) ^ { 2 }$

Factor completely. - $4 x ^ { 2 } - 25$

Factor. - $10 z ^ { 3 } + 11 z ^ { 2 } - 6 z$

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

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

Factor using the ac-method. - $15 x ^ { 2 } + 19 x + 6$

Factor. - $- 42 x ^ { 2 } - 35 x + 42$

Factor completely. - $50 a ^ { 4 } b - 18 b ^ { 3 }$

Factor using the ac-method. - $- 24 x ^ { 2 } - 20 x + 24$

Factor. - $80 z ^ { 8 } + 108 z ^ { 5 } + 36 z ^ { 2 }$

Factor by grouping. - $8 \mathrm { x } ^ { 2 } + 12 \mathrm { x } + 10 \mathrm { x } + 15$

Factor. - $4 x ^ { 2 } - 9 x + 8$

Factor. - $x ^ { 2 } - x - 63$

Factor. - $3 x ^ { 3 } + 3 x ^ { 2 } - 60 x$

Factor completely. - $x ^ { 2 } + 6 x y + 9 y ^ { 2 }$

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Rational Expressions and Equations

Graphs, Functions, and Applications

Systems of Equations

More on Inequalities

Radical Expressions, Equations, and Functions

Quadratic Equations and Functions

Exponential Functions and Logarithmic Functions

Finding Measures of Central Tendency for Prices and Heights

Filters

Exam 5: Polynomials: Factoring

Factor completely. - 4x2−254 x ^ { 2 } - 254x2−25

Factor. - 10z3+11z2−6z10 z ^ { 3 } + 11 z ^ { 2 } - 6 z10z3+11z2−6z

Factor. - x2−2xy−24y2x ^ { 2 } - 2 x y - 24 y ^ { 2 }x2−2xy−24y2

Factor. - x2−x−30x ^ { 2 } - x - 30x2−x−30

Factor using the ac-method. - 15x2+19x+615 x ^ { 2 } + 19 x + 615x2+19x+6

Factor. - −42x2−35x+42- 42 x ^ { 2 } - 35 x + 42−42x2−35x+42

Factor completely. - 50a4b−18b350 a ^ { 4 } b - 18 b ^ { 3 }50a4b−18b3

Factor using the ac-method. - −24x2−20x+24- 24 x ^ { 2 } - 20 x + 24−24x2−20x+24

Factor. - 80z8+108z5+36z280 z ^ { 8 } + 108 z ^ { 5 } + 36 z ^ { 2 }80z8+108z5+36z2

Factor by grouping. - 8x2+12x+10x+158 \mathrm { x } ^ { 2 } + 12 \mathrm { x } + 10 \mathrm { x } + 158x2+12x+10x+15

Factor. - 4x2−9x+84 x ^ { 2 } - 9 x + 84x2−9x+8

Factor. - x2−x−63x ^ { 2 } - x - 63x2−x−63

Factor. - 3x3+3x2−60x3 x ^ { 3 } + 3 x ^ { 2 } - 60 x3x3+3x2−60x

Factor completely. - x2+6xy+9y2x ^ { 2 } + 6 x y + 9 y ^ { 2 }x2+6xy+9y2