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)

DOTS

100

Factor:  x² - 49 

(x + 7) (x - 7)

200

Factor:  x² - 121

(x - 11) (x + 11)

300

Factor:  4x² - 36

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

400

Factor:  144 - x²

(12 - x) (12 + x)

500

Factor:  9x⁶ - 169x⁴y²

(3x³ - 13x²y) (3x³ + 13x²y

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)

Miscellaneous Factoring

100

Solve for x: 3x-7=11

x=6

200

2x+8=5x-7

x=5

300

Solve by factoring:

x² + 5x = 0

x = 0, x = -5

400

What is the common factor of

x² -49 and x² + 2x - 35

(x + 7)

500

Solve by factoring:

x² - 5 = 4x

x=5, x=-1