FACTORING

Factoring Trinomials

100

Factor x²+8x+12

(x+6)(x+2)

200

Factor m²-11m+18

(m-9)(m-2)

300

Factor 5n²+26n+5

(5n+1)(n+5)

400

Factor 3x²+7x+4

(3x+4)(x+1)

500

Factor 6x²+x-2

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

Difference of Squares

100

9x²-1

(3x-1)(3x+1)

200

x² - 64

(x+8)(x - 8)

300

x¹⁰-z⁸

(x⁵-z⁴)(x⁵+ z⁴)

400

25m² - 36

(5m + 6)(5m - 6)

500

100 - 49x²

(10 - 7x)(10 + 7x)

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)

Sum/Difference of Cubes

100

8x³ + 125

(2x+5)(4x²-10x+25)

200

m³ - h³

(m - h)(m² + mh + h²)

300

27 + 125b³

(3 + 5b)(9 - 15b + 25b²)

400

x³ - 8

(x - 2)(x² + 2x + 4)

500

64g³ + 1

(4g + 1)(16g² - 4g + 1)