Factoring Unit Review

GCF/LCM

100

The GCF of 18 and 42

What is 6?

200

The LCM of 12 and 27

What is 108?

300

The GCF of 15x⁵ and 45x³

What is 15x³?

400

The GCF of 12x⁴y², 30x²y, and 60x³

What is 6x²?

500

The GCF of 14a²b⁶c⁹+20a⁴bc³-32a⁴bc³

What is 2a²bc³?

Factor by GCF

100

Factor 12x²+27x

What is 3x(4x+9)?

200

Factor out the GCF 

16p⁴+4p³

What is 4p³(4p+1)?

300

Factor by GCF

2x⁶y³-12x⁴y⁵

What is 2x⁴y³(x²-6y²)?

400

Factor by GCF

2x²-26x+14

What is 2(x²-13x+7)?

500

Factor by GCF

27x³+9x²+18x

What is 9x(3x²+x+2)?

Factor Completely

100

Factor    x²+7x+12

What is (x+3)(x+4)?

200

Factor

x²-x-30

What is (x+5)(x-6)?

300

Factor

7x²+16x-15

What is (7x-5)(x+3)?

400

Factor 

x²-16

What is (x-4)(x+4)?

500

Factor 

3x³-5x²-2x

What is x(x-2)(3x+1)?

Solve

100

The value(s) of x that make (x+3)(2x-5)=0 true.

What are -3 and 5/2?

200

The solution(s) to

x²+6x+9=0

What is x=-3?

300

The solution(s) to 

9x²=12x

What are x=0 or x=4/3?

400

The solution(s) to 

3x²-8=10x

What are x=4 or x=-2/3?

500

The solution(s) to 

3x³-5x²-2x=0

What are x=0, x=2, or x=-1/3?

ACT

100

The number of unique prime number factors of 35.

What is 2?

200

The greatest prime factor of 132

What is 11?

300

The solution(s) to the equation 

x²-4x=32

What are x=8 or x=-4?

400

An expression equivalent to 

-2x²-x

What is -x(2x+1) or x(-2x-1)?

500

The sum of the solutions to 

x²-8x+12=0

What is 8?