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

Factor y³-5y²+6y-30

(y²+6)(y-5)

200

Factor 2p³+5p²+6p+15

(p²+3)(2p+5)

300

Factor 35xy-5x-56y+8

(5x-8)(7y-1)

400

Factor 40xy+30x-100y-75

5(2x-5)(4y+3)

500

Factor 12xy-28x-15y+35

(4x-5)(3y-7)

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/Sum of Cubes

100

Factor x³+64

(x+4)(x²-4x+16)

200

Factor y³-512

(y-8)(y²+8y+64)

300

Factor 8x³+343

(2x+7)(4x²-14x+49)

400

Factor 27x³-8

(3x-2)(9x²+6x+4)

500

Factor 125x³+343

(5x+7)(25x²-35x+49)