Factoring, Factoring, Factoring!!

Greatest Common Factor

100

Factor: 

3x + 12

3(x + 4)

200

Factor: 

8m + 36n

4(2m + 9n)

300

Factor:

21cd - 3d

3d(7c - 1)

400

Factor:

18a²bc² - 48abc³

6abc²(3a - 8c)

500

Factor:

9r⁸ - 18r²s - 24rs²

3r(3r⁷ - 6rs - 8rs²)

Difference of Squares

100

Factor:

a² - 4

(a+2)(a-2)

200

Factor: 

c² - 100

(c + 10)(c - 10)

300

Factor: 

x² + 25

Prime. 

You cannot factor because this is not a difference of squares problem. 

400

Factor: 

16a² - 121

(4a + 11)(4a - 11)

500

Factor: 

64u² - 36s²

(8u + 6s)(8u - 6s)

Factor by Grouping

100

Factor: 

a³ + 2a² + 9a + 18

(a + 2)(a² + 9)

200

Factor: 

x³ + 4x² + 8x + 32

(x + 4)(x² + 8)

300

Factor: 

w³ + 5w² - 8w - 40

(w + 5)(w² - 8)

400

Factor: 

p⁵ - 6p³ - 2p² + 12

(p² - 6)(p³ - 2)

500

Factor: 

2y⁴ - 6y³ - 7y + 21

(y - 3)(2y³ - 7)

Basic Trinomials

100

Factor: 

x² + 9x + 20

(x + 4)(x + 5)

200

Factor: 

a² + 10a + 24

(a + 4)(a + 6)

300

Factor: 

n² + 3n - 18

(n + 6)(n - 3)

400

Factor: 

x² - 7x - 30

(x - 10)(x + 3)

500

Factor: 

y² - 17y + 72

(y - 8)(y - 9)

"Bottoms Up/Slip & Slide"

100

Factor: 

2x² + 5x + 3

(x + 1)(2x + 3)

200

Factor: 

4a² - 4a + 1

(2a - 1)(2a - 1)

300

Factor: 

9m² + 3m - 2

(3m - 1)(3m + 2)

400

Factor: 

12c² + 11c - 5

(3c - 1)(4c + 5)

500

Factor:

8y² - 10y - 3

(2y - 3)(4y + 1)