FACTORING POLYNOMIALS

Factoring trinomials

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

x²-x-56

(x-8)(x+7)

Factoring with template

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 by Grouping

100

18x³ + 9x² + 14x + 7

(2x + 7)(9x² + 7)

200

6x³ + 15x² + 8x + 20

(3x² + 4)(2x + 5)

300

10x³ - 6x² + 35x - 21

(2x + 5)(3x² - 4)

400

x³ - 2x² - 5x +10

(x - 2)(x² - 5)

500

21x³ + 28x² + 6x +8

(3x + 4)(7x² +2)

Factor by GCF

100

14n²+10n

2n(7n+5)

200

18x³-6x

6x(3x²-1)

300

4a² + 7a

a(4a + 7)

400

4x⁴+16x³-8x²

4x²(x²+4x-2)

500

10a³b⁴-6a²b⁶

2a²b⁴(5a³-3b²)

DOTS

100

x² - 49

(x = 7)(x - 7)

200

y¹⁴ - 4

(y⁷ + 2)(y⁷ - 2)

300

81x² - 25

(9x + 5)(9x - 5)

400

6x³ - 24x

6x(x +2)(x - 2)

500

3x⁷ - 3x³

3x³(x² + 1)(x + 1)(x - 1)