Factoring Polynomials

GCF

100

2a+2b

2(a+b)

200

3ab²-6a²b

3ab(b-2a)

300

9x⁴+3x³+12x²

3x²(3x²+x+4)

400

c³-c²+2c

c(c²-c+2)

500

26x⁴y-39x³y²+52x²y³-13xy⁴

13xy(2x³-3x²y+4xy²-y³)

Difference of Squares

100

x²-25

(x+5)(x-5)

200

y²-64

(y+8)(y-8)

300

16n²-81m²

(4n+9m)(4n-9m)

400

8x²-50

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

500

2w⁵-72w

2w(w²+6)(w²-6)

Trinomials (all types)

100

b²+8b+7

(b+7)(b+1)

200

m²+m-90

(m+10)(m-9)

300

2k² + 22k + 60

2(k+6)(k+5)

400

3x²+10x+8

(x+2)(3x+4)

500

5y²-7y-6

(y-2)(5y+3)

Sum/Difference of Cubes

100

x³+8

(x+2)(x²-2x+4)

200

a³-64

(a-4)(a²+4a+16)

300

2x³+250

2(x+5)(x²-5x+25)

400

w⁴-w

w(w-1)(w²+w+1)

500

2w⁵-16w²

2w²(w-2)(w²+2x+4)

Grouping

100

2x²+8x+3xy+12y

(x+4)(2x+3y)

200

3x²+6x+4xz+8z

(x+2)(3x+4z)

300

x³+3x²+2x+6

(x+3)(x²+2)

400

2x³+10x²-3x-15

(x+5)(2x²-3)

500

2x³+7x²-8x-28

(2x+7)(x²-4)