FACTORING POLYNOMIALS

Factoring 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 Trinomials- harder

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 by Grouping

100

x³ + 3x³ + 5x + 15

(x² + 5)(x + 3)

200

2p³ + 5p² + 6p + 15

(2p + 5)(p² + 3)

300

5n³ − 10n²+ 3n − 6

(n - 2)(5n² + 3)

400

40xy + 30x − 100y − 75

5(2x − 5)(4y + 3)

500

105ab − 90a − 21b + 18

3(5a − 1)(7b − 6)

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)

Difference of Squares

100

Find the factors: x² - 4

(x + 2)(x - 2)

200

Find the factors: 9x⁴ - 25y²

(9x² + 5y)(9x² - 5y)

300

Find the factors: 16x⁶ - 121z⁸

(4x³ + 11z⁴)(4x³ - 11z⁴)

400

16x⁴ - 1

(4x² + 1)(2x + 1)(2x - 1)

500

81y⁸ - 16x⁸

(9x⁴ + 4x⁴)(3y² + 2x²)(3y² - 2x²)