FACTORING POLYNOMIALS

Factoring Trinomialsa=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

2(x-1)(x-5)

Factor by Grouping

100

Factor by grouping:
x³+2x²+3x+6

(x²+3)(x+2)

200

Factor by grouping:
x³-x²+2x-2

(x²+2)(x-1)

300

Factor by grouping:
x³+4x²-2x-8

(x²-2)(x+4)

400

Factor by grouping:
2x³+3x²-6x+9

(x²-3)(2x+3)

500

Factor by grouping:
3x³+x²-12x-4

(x+2)(x-2)(3x+1)

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)

Solving Equations

100

Solve for x: 3x-7=11

x=6

200

2x+8=5x-7

x=5

300

x²-5x=0

x=0, 5

400

x²+4x-5=0

x= -5, 1

500

x³+2x²-9x-18=0

x= -3, -2, 3