Factoring All Types

GCF

100

What is the GCF of 63+45b

9

200

What is the GCF of -6r⁵ - 6r⁴

-6r⁴

300

What is the GCF of 14a + 21a² + 21a³

7a

400

What is the GCF of jc⁵f +2j²c +c²f

c

500

What is the GCF of 16mn²p³ + 48m³np² + 32mn + 8mnp

8mn

Factoring Quadratics

100

What are the factors to the following quadratic:

x²+5x+4

(x+4)(x+1)

200

What are the factors to the following Quadratic:

4n² - 64

(2n+8)(2n-8)

300

What are the factors of the following
Quadratic: 15b² +4b -4

(5b-2)(3b+2)

400

Factor the following Quadratic: 12x² +46x +14

2(2x+7)(3x+1)

500

Factor the following Quadratic: 15p²+80p+80

5(3p+4)(p+4)

Sum & Difference of Cubic

100

Factor the cubic expression: a³ +216

(a+6)(a²-6a+36)

200

Factor the cubic expression: 64x³-27

(4x-3)(16x²+12x+9)

300

Factor the following cubic expression: 864-4u³

4(6-u)(36+6u+u²)

400

Factor the following Cubic expression: 54x³-2

2(3x-1)(9x²-12x+16)

500

Factor the following cubic expression: 2m³+54n³

2(m+3n)(m²-3mn+9n²)

Factor by Grouping

100

Factor the following polynomial: 3n³-4n²+9n-12

(n²+3)(3n-4)

200

Factor the following polynomial: m³-m²+2m-2

(m²+2)(m-1)

300

Factor the following polynomial: 105ab-90a-21b+18

3(5a-1)(7b-6)

400

Factor the following polynomial: 140ab-60a²+168b-72a

4(5a+6)(7b-3a)

500

Factor the following polynomial: 150m²nz+20mn²c-120m²nc-25mn²z

5mn(6m-n)(5z-4c)