Question 1

Factor.
-$$x ^ { 3 } - x ^ { 2 } - 72 x$$

Accepted Answer

A)  $x ( x + 8 ) ( x - 9 )$ 
B)  Prime 
C)  $\left( x ^ { 2 } + 1 \right) ( x - 72 )$ 
D)  $x ( x + 9 ) ( x - 8 )$ 
A)  $x ( x + 8 ) ( x - 9 )$ 
B)  Prime 
C)  $\left( x ^ { 2 } + 1 \right) ( x - 72 )$ 
D)  $x ( x + 9 ) ( x - 8 )$

Question 2

Factor.
-$$3 x ^ { 3 } + 6 x ^ { 2 } - 45 x$$

Accepted Answer

A)  $3 x ( x - 3 ) ( x + 5 )$ 
B)  $\left( 3 x ^ { 2 } + 9 x \right) ( x - 5 )$ 
C)  $3 x ( x + 3 ) ( x - 5 )$ 
D)  $( x - 3 ) \left( 3 x ^ { 2 } + 15 \right)$ 
A)  $3 x ( x - 3 ) ( x + 5 )$ 
B)  $\left( 3 x ^ { 2 } + 9 x \right) ( x - 5 )$ 
C)  $3 x ( x + 3 ) ( x - 5 )$ 
D)  $( x - 3 ) \left( 3 x ^ { 2 } + 15 \right)$

Question 3

Factor.
-$x ^ { 2 } + 7 x - 30$

Accepted Answer

A)  $( x - 10 ) ( x + 3 )$ 
B)  Prime 
C)  $( x + 10 ) ( x - 3 )$ 
D)  $( x - 10 ) ( x + 1 )$ 
A)  $( x - 10 ) ( x + 3 )$ 
B)  Prime 
C)  $( x + 10 ) ( x - 3 )$ 
D)  $( x - 10 ) ( x + 1 )$

Question 4

Factor.
-$$x ^ { 2 } + \frac { 4 } { 3 } x + \frac { 4 } { 9 }$$

Accepted Answer

A)  $\left( x ^ { 2 } + \frac { 2 } { 3 } \right) ^ { 2 }$ 
B)  $\left( x + \frac { 4 } { 3 } \right) \left( x + \frac { 2 } { 3 } \right)$ 
C)  $\left( x + \frac { 2 } { 3 } \left( x + \frac { 2 } { 3 } x \right) \right.$ 
D)  $\left( x + \frac { 2 } { 3 } \right) ^ { 2 }$ 
A)  $\left( x ^ { 2 } + \frac { 2 } { 3 } \right) ^ { 2 }$ 
B)  $\left( x + \frac { 4 } { 3 } \right) \left( x + \frac { 2 } { 3 } \right)$ 
C)  $\left( x + \frac { 2 } { 3 } \left( x + \frac { 2 } { 3 } x \right) \right.$ 
D)  $\left( x + \frac { 2 } { 3 } \right) ^ { 2 }$

Question 5

Find the GCF.
-$x ^ { 6 } y ^ { 6 } , x ^ { 5 } y ^ { 4 } , x ^ { 5 } y ^ { 5 } , - x ^ { 3 } y ^ { 3 }$

Accepted Answer

A)  $x ^ { 4 } y ^ { 4 }$ 
B)  $- x y$ 
C)  $x ^ { 5 } y ^ { 4 }$ 
D)  $x ^ { 3 } y ^ { 3 }$ 
A)  $x ^ { 4 } y ^ { 4 }$ 
B)  $- x y$ 
C)  $x ^ { 5 } y ^ { 4 }$ 
D)  $x ^ { 3 } y ^ { 3 }$

Question 6

Factor.
-$$6 \mathrm { x } ^ { 2 } + 11 \mathrm { xt } + 4 \mathrm { t } ^ { 2 }$$

Accepted Answer

A)  $( 2 x - t ) ( 3 x - 4 t )$ 
B)  $( 2 x + t ) ( 3 x + 4 t )$ 
C)  $( 6 x + t ) ( x + 4 t )$ 
D)  Prime 
A)  $( 2 x - t ) ( 3 x - 4 t )$ 
B)  $( 2 x + t ) ( 3 x + 4 t )$ 
C)  $( 6 x + t ) ( x + 4 t )$ 
D)  Prime

Question 7

Factor.
-$24 x ^ { 2 } - 104 x - 80$

Accepted Answer

A)  $( 24 x + 16 ) ( x - 5 )$ 
B)  $8 ( 3 x + 2 ) ( x - 5 )$ 
C)  $( 3 x + 2 ) ( 8 x - 40 )$ 
D)  $8 ( 3 x - 2 ) ( x + 5 )$ 
A)  $( 24 x + 16 ) ( x - 5 )$ 
B)  $8 ( 3 x + 2 ) ( x - 5 )$ 
C)  $( 3 x + 2 ) ( 8 x - 40 )$ 
D)  $8 ( 3 x - 2 ) ( x + 5 )$

Question 8

Factor completely.
-$125 x ^ { 2 } - 245 y ^ { 2 }$

Accepted Answer

A)  $5 ( 5 x - 7 y ) ^ { 2 }$ 
B)  $( 25 x + 35 y ) ( 5 x - 7 y )$ 
C)  $5 ( 5 x + 7 y ) ( 5 x - 7 y )$ 
D)  $( 5 x + 7 y ) ( 25 x - 35 y )$ 
A)  $5 ( 5 x - 7 y ) ^ { 2 }$ 
B)  $( 25 x + 35 y ) ( 5 x - 7 y )$ 
C)  $5 ( 5 x + 7 y ) ( 5 x - 7 y )$ 
D)  $( 5 x + 7 y ) ( 25 x - 35 y )$

Question 9

Find the GCF.
-$$- x ^ { 2 } , - 5 x , - 15 x ^ { 5 }$$

Accepted Answer

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

Question 10

Factor.
-$14 x ^ { 2 } - 49 x - 28$

Accepted Answer

A)  $( 2 x - 1 ) ( 7 x + 28 )$ 
B)  $( 14 x - 7 ) ( x + 4 )$ 
C)  $7 ( 2 x + 1 ) ( x - 4 )$ 
D)  $7 ( 2 x - 1 ) ( x + 4 )$ 
A)  $( 2 x - 1 ) ( 7 x + 28 )$ 
B)  $( 14 x - 7 ) ( x + 4 )$ 
C)  $7 ( 2 x + 1 ) ( x - 4 )$ 
D)  $7 ( 2 x - 1 ) ( x + 4 )$

Question 11

Factor.
-$$t ^ { 2 } + 0.4 t + 0.04$$

Accepted Answer

A)  $( t + 0.4 ) ^ { 2 }$ 
B)  $t ( t + 0.4 )$ 
C)  $\left( t ^ { 2 } + 0.2 \right) ^ { 2 }$ 
D)  $( t + 0.2 ) ^ { 2 }$ 
A)  $( t + 0.4 ) ^ { 2 }$ 
B)  $t ( t + 0.4 )$ 
C)  $\left( t ^ { 2 } + 0.2 \right) ^ { 2 }$ 
D)  $( t + 0.2 ) ^ { 2 }$

Question 12

Factor.
-$3 m ( 7 - m ) + 8 n ( 7 - m )$

Accepted Answer

A)  $( 3 m - 8 n ) ( 7 - m )$ 
B)  $m ( 3 + 8 n ) ( 7 - 1 )$ 
C)  No common factor 
D)  $( 3 m + 8 n ) ( 7 - m )$ 
A)  $( 3 m - 8 n ) ( 7 - m )$ 
B)  $m ( 3 + 8 n ) ( 7 - 1 )$ 
C)  No common factor 
D)  $( 3 m + 8 n ) ( 7 - m )$

Question 13

Factor completely.
-$64 \mathrm { x } ^ { 2 } - 49$

Accepted Answer

A)  $( 8 x + 7 ) ^ { 2 }$ 
B)  Prime 
C)  $( 8 x - 7 ) ^ { 2 }$ 
D)  $( 8 x + 7 ) ( 8 x - 7 )$ 
A)  $( 8 x + 7 ) ^ { 2 }$ 
B)  Prime 
C)  $( 8 x - 7 ) ^ { 2 }$ 
D)  $( 8 x + 7 ) ( 8 x - 7 )$

Question 14

Factor completely.
-$12 a ^ { 4 } - 27 b ^ { 2 }$

Accepted Answer

A)  $\left( 6 a ^ { 2 } + 9 b \right) \left( 2 a ^ { 2 } - 3 b \right)$ 
B)  $3 \left( 2 a ^ { 2 } + 3 b \right) \left( 2 a ^ { 2 } - 3 b \right)$ 
C)  $3 \left( 2 a ^ { 2 } + 3 b \right) ^ { 2 }$ 
D)  $3 \left( 2 a ^ { 2 } - 3 b \right) ^ { 2 }$ 
A)  $\left( 6 a ^ { 2 } + 9 b \right) \left( 2 a ^ { 2 } - 3 b \right)$ 
B)  $3 \left( 2 a ^ { 2 } + 3 b \right) \left( 2 a ^ { 2 } - 3 b \right)$ 
C)  $3 \left( 2 a ^ { 2 } + 3 b \right) ^ { 2 }$ 
D)  $3 \left( 2 a ^ { 2 } - 3 b \right) ^ { 2 }$

Factor. - $x ^ { 3 } - x ^ { 2 } - 72 x$

Factor. - $3 x ^ { 3 } + 6 x ^ { 2 } - 45 x$

Factor. - $x ^ { 2 } + 7 x - 30$

Factor. - $x ^ { 2 } + \frac { 4 } { 3 } x + \frac { 4 } { 9 }$

Find the GCF. - $x ^ { 6 } y ^ { 6 } , x ^ { 5 } y ^ { 4 } , x ^ { 5 } y ^ { 5 } , - x ^ { 3 } y ^ { 3 }$

Factor. - $6 \mathrm { x } ^ { 2 } + 11 \mathrm { xt } + 4 \mathrm { t } ^ { 2 }$

Factor. - $24 x ^ { 2 } - 104 x - 80$

Factor completely. - $125 x ^ { 2 } - 245 y ^ { 2 }$

Find the GCF. - $- x ^ { 2 } , - 5 x , - 15 x ^ { 5 }$

Factor. - $14 x ^ { 2 } - 49 x - 28$

Factor. - $t ^ { 2 } + 0.4 t + 0.04$

Factor. - $3 m ( 7 - m ) + 8 n ( 7 - m )$

Factor completely. - $64 \mathrm { x } ^ { 2 } - 49$

Factor completely. - $12 a ^ { 4 } - 27 b ^ { 2 }$

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

Filters

Exam 5: Polynomials: Factoring

Factor. - x3−x2−72xx ^ { 3 } - x ^ { 2 } - 72 xx3−x2−72x

Factor. - 3x3+6x2−45x3 x ^ { 3 } + 6 x ^ { 2 } - 45 x3x3+6x2−45x

Factor. - x2+7x−30x ^ { 2 } + 7 x - 30x2+7x−30

Factor. - x2+43x+49x ^ { 2 } + \frac { 4 } { 3 } x + \frac { 4 } { 9 }x2+34​x+94​

Find the GCF. - x6y6,x5y4,x5y5,−x3y3x ^ { 6 } y ^ { 6 } , x ^ { 5 } y ^ { 4 } , x ^ { 5 } y ^ { 5 } , - x ^ { 3 } y ^ { 3 }x6y6,x5y4,x5y5,−x3y3

Factor. - 6x2+11xt+4t26 \mathrm { x } ^ { 2 } + 11 \mathrm { xt } + 4 \mathrm { t } ^ { 2 }6x2+11xt+4t2

Factor. - 24x2−104x−8024 x ^ { 2 } - 104 x - 8024x2−104x−80

Factor completely. - 125x2−245y2125 x ^ { 2 } - 245 y ^ { 2 }125x2−245y2

Find the GCF. - −x2,−5x,−15x5- x ^ { 2 } , - 5 x , - 15 x ^ { 5 }−x2,−5x,−15x5

Factor. - 14x2−49x−2814 x ^ { 2 } - 49 x - 2814x2−49x−28

Factor. - t2+0.4t+0.04t ^ { 2 } + 0.4 t + 0.04t2+0.4t+0.04

Factor. - 3m(7−m)+8n(7−m)3 m ( 7 - m ) + 8 n ( 7 - m )3m(7−m)+8n(7−m)

Factor completely. - 64x2−4964 \mathrm { x } ^ { 2 } - 4964x2−49

Factor completely. - 12a4−27b212 a ^ { 4 } - 27 b ^ { 2 }12a4−27b2