FACTORING POLYNOMIALS

Factoring 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

 y² - 6y - 7

(y-7)(y+1)

500

3x² - 3x - 168

3(x-8)(x+7)

Factoring Trinomials

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

(2x-2)(x-5)

Factor 4 terms

100

 3x³  + 6x² + x + 2 

(3x² + 1)(x + 2)

200

 4x³ - x² + 12x - 3

(x² + 3)(4x - 1)

300

2x³ + 8x² - x - 4

(2x² - 1)(x + 4)

400

18x³ - 32x² - 27x + 48

(2x² - 3)(9x - 16)

500

16x² - 2xc + 40xb - 5bc

(2x + 5b)(8x - c)

Factor by GCF

100

14n²+10n

2n(7n+5)

200

 18x³-6x

6x(3x²-1)

300

 8-4a²

4(2-a²)

400

4x⁴+16x³-8x²

4x²(x²+4x-2)

500

10a³b⁴-6a²b⁶

2a²b⁴(5a³-3b²)

Difference of Squares

100

x² - 36

(x+6)(x-6)

200

x² - 144

(x + 12)(x - 12)

300

4x² - 9

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

400

2x² - 50

2(x + 5)(x - 5)

500

12x² - 3

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