Factoring GCF
x²+bx+c
ax²+bx+c
Difference of Squares
Factor by Grouping
100

12x+20

4(3x+5)

100

x²+5x+6

(x+2)(x+3)

100

2x²+13x+6

(2x+1)(x+6)

100

x²-144

(x-12)(x+12)

100

2ax+6xc+ba+3bc

(2x+b)(a+3c)

200

8w²+18w

2w(4w+9)

200

x²-7x+10

(x-2)(x-5)

200

4n²-8n+3

(2n-3)(2n-1)

200

x²-49

(x+7)(x-7)

200

6mx-4m+3rx-2r

(2m+r)(3x-2)

300

a3+6a²-11a

4(a²+6a-11)

300

x²+6x+5

(x+1)(x+5)

300

6t²+7t-5

(3t+5)(2t-1)

300

4x²-25

(2x-5)(2x+5)

300

2my+7x+7m+2xy

(m+x)(2y+7)

400

2x(x+5)+7(x+5)

(x+5)(2x+7)
400

x²+2x-8

(x+4)(x-2)

400

6x²+57x+72

3(2x+3)(x+8)

400

9x²-100y²

(3x-10y)(3x+10y)

400

3ax-6bx+8b-4a

(a-2b)(3x-4)

500

17xy4+51x²y3

17xy3(y+3x)

500

3x²-30x-72

3(x-6)(x-4)

500

9r²+3r-30

3(3r-5)(r+2)

500

16x4-1  (Hint: This has two steps to compete the factoring)

(4x²+1)(2x-1)(2x+1)

500

2x3-5xy²-2x²y+5y3

(x-y)(2x²-5y²)

M
e
n
u