FACTORING POLYNOMIALS

Factoring trinomials w/ a=1

100

Factor: x²+8x+12

(x+6)(x+2)

200

Factor: m²-11m+18

(m-9)(m-2)

300

Factors: x²+5x-24

(x+8)(x-3)

400

Factor: y²-6y-7

(y-7)(y+1)

500

Factor x²-x-56

(x-8)(x+7)

Factoring Trinomials w/ 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:  42m³+18m²+7m+3

(6m²+1)(7m+3)

200

Factor: 20n³ + 35n² - 4n - 7

(5n² - 1)(4n + 7)

300

Factor: 4a³+20a²+7a+35

(4a²+7)(a+5)

400

Factor: 24v³+64v²+3v+8

(8v² + 1)(3v + 8)

500

Factor: 9n³ - 21n² - 6n + 14

(3n² - 2)(3n - 7)

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(5a-3b²)

Binomials

100

Factor: a² - 16

(a + 4)(a - 4)

200

Factor: 4b² - 49

(2b - 7)(2b + 7)

300

Factor: x⁴ - 16

(x² +4)(x - 2)(x + 2)

400

Factor: 50n³ - 162n

2n(5n + 9)(5n - 9)

500

Factor: p³ + p² - 9p - 9

(p + 3)(p - 3)(p + 1)