FACTORING POLYNOMIALS

Factoring trinomials

100

Factor into two binomials: x²+8x+12

(x+6)(x+2)

200

Factor into two binomials: m²-11m+18

(m-9)(m-2)

300

Factor into two binomials: x²+5x-24

(x+8)(x-3)

400

Factor into two binomials: y²-6y-7

(y-7)(y+1)

500

Factor into two binomials: x²-x-56

(x-8)(x+7)

Factoring Trinomials- harder

100

Factor into two binomials: 2x²+7x+3

(2x+1)(x+3)

200

Factor into two binomials: 5n²+26n+5

(5n+1)(n+5)

300

Factor into two binomials: 3x²-10x+7

(3x-7)(x-1)

400

Factor into two binomials: 7x²-36x+5

(7x-1)(x-5)

500

Factor into two binomials: 2x²-12x+10

(2x-2)(x-5)

Factor by Grouping

100

k³+2k²-5k-10

(k+2)(k²-5)

200

3x³-21x²+4x-28

(3x²+4)(x-7)

300

c²d+3c²-7d²-21d

(c²-7d)(d+3)

400

Rearrange terms first:

uv-u-u²+v

(-u+v)(u+1)

500

Rearrange terms first:

12m²+3m+28mn+7n

(3m+7n)(4m+1)

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(5a³-3b²)

Difference of Squares

100

x²-25

(x+5) (x-5)

200

36 - x²

(6-x) (6+x)

300

25x² - 49

(5x-7)(5x+7)

400

64m⁴-9n²

(8m²-3n)(8m²+3n)

500

72y⁴-18y²

18y²(2y+1)(2y-1)