FACTORING POLYNOMIALS

Factor out GCF

100

Factor out the GCF: 14n²+10n

2n(7n+5)

200

Factor out the GCF: 18x³-6x

6x(3x²-1)

300

Factor out the GCF: 8-4a²

4(2-a²)

400

Factor out the GCF: 4x⁴+16x³-8x²

4x²(x²+4x-2)

500

Factor out the GCF: 10a³b⁴-6a²b⁶

2a²b⁴(5a³-3b²)

Factoring trinomials

100

Factor: x²+8x+12

(x+6)(x+2)

200

Factor: m²-11m+18

(m-9)(m-2)

300

Factor: x²+5x-24

(x+8)(x-3)

400

Factor: y³-6y²-7y

y(y-7)(y+1)

500

Factor: -2x²+2x+112

-2(x-8)(x+7)

Factoring Trinomials- harder

100

Factor: 2x²+7x+3

(2x+1)(x+3)

200

Factor: 5n²+26n+5

(5n+1)(n+5)

300

Factor: 6x²-17x+7

(3x-7)(2x-1)

400

Factor: 7x³-36x²+5x

x(7x-1)(x-5)

500

Factor: 48x²y-88xy+40y

4y(2x-2)(6x-5)

Factor by Grouping

100

Factor: x³+6x²+10x+60

(x²+10)(x+6)

200

Factor: x³-9x²+12x-108

(x²+12)(x-9)

300

Factor: 10x³-80x²-24x+192

2(5x²-12)(x-8)

400

Factor: 45x³+81x²-120x-216

3(3x²-8)(5x+9)

500

Factor: 250x⁴-550x³-175x²+385x

5x(10x²-7)(5x-11)

Challenge

100

Factor: -x³-3x²+88x

-x(x-8)(x+11)

200

Factor: -60x²-126x-54

-6(2x+3)(5x+3)

300

Factor: -144x²y+372xy-84y

12y(3x-7)(-4x+1)

400

Factor: -40x⁵+70x⁴+12x³-21x²

x²(10x²-3)(-4x+7)

500

Factor: 24x⁴y-30x³y³+36x²y²-45xy⁴

3xy(2x²+3y)(4x-5y²)