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

2y² - 12y - 14

2(y-7)(y+1)

500

3x² - 3x - 168

3(x-8)(x+7)

Factoring Trinomials- harder

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

14x² - 72x + 10

2(7x-1)(x-5)

500

8x² - 48x + 40

4(2x-2)(x-5)

Factor by Grouping

100

3n³ − 4n² + 9n − 12

(n² + 3)(3n - 4)

200

2p³ + 5p² + 6p + 15

(p² + 3)(2p + 5)

300

m³ − m² + 2m − 2

(m² + 2)(m - 1)

400

75a²c − 45a²d − 30bc + 18bd

3(5a² - 2b)(5c - 3d)

500

150m²nz + 20mn²c − 120m²nc − 25mn²z

5mn(6m - n)(5z - 4c)

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)

Factoring Difference of Squares

100

x² - 49

(x+7)(x-7)

200

x² - 144

(x+12)(x-12)

300

4x²-25

(2x+5)(2x-5)

400

36y²-100

4(3y+5)(3y-5)

500

25x² - y²

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