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: y⁴-6y²-7

(y²-7)(y²+1)

500

Solve  2x²-2x-112=0

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

Solve 6x²+15x-21=0

x=1    X= -7/2

Factor by Grouping

100

Factor: x³-2x²+5x-10

(x-2)(x²+5)

200

Factor: 6x²-2x²+27x-9

(3x-1)(2x²+9)

300

Factor: 12xy+9x-20y-15

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

400

Factor: 3x²y+12x²-3y-12

(3x²-3)(y+4)

500

Factor
15mz+10nz-6my-4ny

(5z-2y)(3m+2n)

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: 8a³-24a²+12a

4a(2a²-6a+3)

400

Factor by GCF: 4x⁴+16x³-8x²

4x²(x²+4x-2)

500

Factor by GCF: 10a³b⁴-6a²b⁶

2a²b⁴(5a-3b²)

Special Factoring

100

Factor: x²-81

(x+9)(x-9)

200

Factor x³-27

(x-3)(x²+3x+9)

300

Factor 4x²-121

(2x+11)(2x-11)

400

Factor 3x³+192

3(x+4)(x²-4x+16)

500

Factor 16x³+54

2(2x+3)(4x²-6x+9)