FACTORING POLYNOMIALS

Factoring trinomials- a=1

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- a>1

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 completely: m³-m²+2m-2

(m²+2)(m-1)

200

Factor completely: 12a³-9a²+4a-3

(3a²+1)(4a-3)

300

Factor completely: 20x³+60x²-50x-150

10(2x²-5)(x+3)

400

Factor completely: 35xy-5x-56y+8

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

500

Factor completely:

16x²c-16x²d-8xyc+8xyd

8x(2x-y)(c-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(5a³-3b²)

Factoring Polynomials

100

Factor completely: x⁴-9

(x²+3)(x²-3)

200

Factor completely: 8x³+27

(2x+3)(4x²-6x+9)

300

Factor completely: 2x³+16x²-66x

2x(x-3)(x+11)

400

Factor completely: 10x⁴+19x²+6

(5x²+2)(2x²+3)

500

Factor completely: 3x⁴-48

3(x²+4)(x+2)(x-2)