Factoring!

GCF (Greatest Common Factor)

100

Factor:

8x^2-16

Answer:

8(x^2-2)

200

Factor:

12x^2+8x

Answer:

4x(3x+2)

300

Factor:

9x^3-7x

Answer:

x(9x^2-7)

400

Factor:

15x^3 -6x^2+3x

Answer:

3x(5x^2-2x+1)

500

Factor:

18z^4 - 12z^3

Answer:

6z^3(3z-2)

DOPS (Difference of 2 Perfect Squares)

100

Factor:

x^2-100

Answer:

(x-10)(x+10)

200

Factor:

81-x^2

Answer:

(9-x)(9+x)

300

Factor:

36x^2-25

Answer:

(6x+5)(6x-5)

400

Factor:

1-16x^2

Answer:

(1+4x)(1-4x)

500

Factor:

49x^2-4

Answer:

(7x+2)(7x-2)

Trinomials where a = 1

100

Factor:

x^2+11x+24

Answer:

(x+8)(x+3)

200

Factor:

x^2-9x-22

Answer:

(x-11)(x+2)

300

Factor:

x^2+7x-30

Answer:

(x+10)(x-3)

400

Factor:

x^2-12x+32

Answer:

(x-4)(x-8)

500

Factor:

x^2-20x-21

Answer:

(x-21)(x+1)

Trinomials where a > 1

100

Factor:

2x^2+11x+12

Answer:

(2x+3)(x+4)

200

Factor:

6x^2+11x+3

Answer:

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

300

Factor:

5x^2+11x-12

Answer:

(5x-4)(x+3)

400

Factor:

10x^2-27x+5

Answer:

(2x-5)(5x-1)

500

Factor:

12x^2+x-6

Answer:

(3x-2)(4x+3)

All ways mixed up!

100

Factor:

x^2-x-72

Answer:

(x-9)(x+8)

200

Factor:

9x^2+30x+25

Answer:

(3x+5)(3x+5) or (3x+5)^2

300

Factor:

6x^2-36x

Answer:

6x(x-6)

400

Factor:

64x^2-1

Answer:

(8x-1)(8x+1)

500

Factor:

3x^2-5x+2

Answer:

(3x-2)(x-1)

COMPLETE FACTORING (each will go 2 levels)

100

Factor:

2x^2-18

Answer:

2(x-3)(x+3)

200

Factor:

3x^2+18x+24

Answer:

3(x+4)(x+2)

300

Factor:

10x^2+40x-50

Answer:

10(x-1)(x+5)

400

Factor:

7x^2-28

Answer:

7(x-2)(x+2)

500

Factor:

5x^2-40x+60

Answer:

5(x-6)(x-2)