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 by Grouping: x³+5x²+5x+25

(x²+5)(x+5)

200

Factor by Grouping: 9x³+3x²+15x+5

(3x²+5)(3x+1)

300

Factor by Grouping: 4x³-10x²+6x-15

(2x²+3)(2x-5)

400

Factor by Grouping: x⁵-3x³-5x²+15

(x³-5)(x²-3)

500

Factor by Grouping: 3x²+xy²-3xy-y³

(x-y)(3x+y²)

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)