FACTORING POLYNOMIALS

Factoring a=1 trinomials

100

Factor into two binomials: x²+8x+12

(x+6)(x+2)

200

Factor into two binomials: m²-11m+18

(m-9)(m-2)

300

Factor into two binomials: x²+5x-24

(x+8)(x-3)

400

Factor into two binomials: y²-6y-7

(y-7)(y+1)

500

Factor into two binomials: x²-x-56

(x-8)(x+7)

Factoring a>1 Trinomials

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

(2x-2)(x-5)

Factor Completely

100

Factor Completely: x³-9x²+20x

x (x-4)(x-5)

200

Factor Completely: 5x⁴ + 30x³ - 80x²

5x² (x+8)(x-2)

300

Factor Completely: 3x² - 48

3 (x+4)(x-4)

400

Factor Completely: 5x⁴ - 320x²

5x² (x+8)(x-8)

500

Factor Completely: 6x²+39x+60

3 (x+4)(2x+5)

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 D.P.S.

100

Factor  x² - 100

(x + 10)(x - 10)

200

Factor  m² - 225

(m + 15)(m - 15)

300

Factor 9y² - 64

(3y + 8)(3y - 8)

400

Factor 16a² - 49b²

(4a + 7b)(4a - 7b)

500

Factor 81 - h¹⁰⁰

(9 + h⁵⁰)(9 - h⁵⁰)