Factoring, Factoring, Factoring!!

Pre-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 - 8s²)

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)

Difference of squares

100

Factor: 

25a² - 100 

(5a + 10)(5a - 10)

200

Factor: 

4x² + 16y² 

This is not a "difference" of 2 squares due to the "+" sign.  This expression is NOT FACTORABLE!

300

Factor: 

81w² - 49

(9w + 7)(9w - 7)

400

Factor: 

36p²  + 4 

Not factorable because addition symbol

500

Factor: 

16y⁴ - 25y² 

(4y² + 5y)(4y² - 5y)

Factor "X" Method

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)

GCF and then factor (if possible)

100

Factor: 

18x² - 8 

2(3x + 2)(3x - 2)

200

Factor: 

50a² - 8

2(5a + 2)(5a - 2)

300

Factor: 

2m² + 22m +60 

2(m + 5)(m + 6)

400

Factor: 

5c² - 30c + 40

5(c - 2)(c - 4)

500

Factor:

2y² + 6y -108

2(n + 9)(n - 6)