FACTORING POLYNOMIALS

Quadratics a=1

100

Factor x²+8x+12

(x+6)(x+2)

200

Factor m²-11m+18

(m-9)(m-2)

300

Factor n²+n-56

(n-7)(n+8)

400

Factor x²-14x+48

(x-8)(x-6)

500

Factor x²+9x-36

(x+12)(x-3)

Quadratics a>1

100

3x²+4x+1

(3x+1)(x+1)

200

2x²-11x-21

(2x+3)(x-7)

300

5x²+9x-2

(5x-1)(x+2)

400

Factor 4m²+5m-6

(4m-3)(m+2)

500

Factor 6x²+10x-4

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

Factor by grouping

100

6v³-16v²+21v-56

(2v²+7)(3v-8)

200

4v³-12v²-5v+15

(4v²-5)(v-3)

300

m³-m²+2m-2

(m²+2)(m-1)

400

21xy+15x+35ry+25r

(3x+5r)(7y+5)

500

12bc-4bd-15xc+5xd

(4b-5x)(3c-d)

Factor by GCF

100

Factor by GCF 14n²+10n

2n(7n+5)

200

Factor by GCF 18x³-6x

6x(3x²-1)

300

Factor by GCF 8-4a²

4(2-a²)

400

Factor by GCF 4x⁴+16x³-8x²

4x²(x²+4x-2)

500

Factor by GCF 10a³b⁴-6a²b⁶

2a²b⁴(5a-3b²)

Special Polys

100

Factor x²-25

(x+5)(x-5)

200

Factor n²-81

(n+9)(n-9)

300

Factor x³-27

(x-3)(x²+3x+9)

400

Factor x³+1

(x+1)(x²-x+1)

500

Factor 8g³-64

(2g-4)(4g²+8g+16)