FACTORING POLYNOMIALS

Factoring trinomials a=1

100

x²+8x+12

(x+6)(x+2)

200

m²-11m+18

(m-9)(m-2)

300

x²+5x-24

(x+8)(x-3)

400

2y²-12y-14

2(y-7)(y+1)

500

 3x²y-3xy-168y

3y(x-8)(x+7)

Factoring trinomials a>1

100

2x²+7x+3

(2x+1)(x+3)

200

5n²+26n+5

(5n+1)(n+5)

300

3x²-10x+7

(3x-7)(x-1)

400

7x²-36x+5

(7x-1)(x-5)

500

2x²-12x+10

2(x-1)(x-5)

DOTS

100

1 - 4x²

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

200

y²-121

(y+11)(y-11)

300

25x²-64y²

(5x+8y)(5x-8y)

400

3x⁴-12x³

3x²(x+2)(x-2)

500

a²b² - x⁴y⁴

(ab-x²y²)(ab+x²y²)

Factor the 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)

Factor Completely

100

x³-3x²+2x-6

(x − 3)(x² +2)

200

2p³ + 5p² + 6p + 15

( p² + 3)(2 p + 5)

300

12xy − 28x − 15y + 35

(4x − 5)(3y − 7)

400

40xy + 30x − 100y − 75

5(2x − 5)(4y + 3)

500

x⁵-4x³+3x²-12

(x³+3)(x+2)(x-2)