FACTORING POLYNOMIALS REVIEW

Factoring trinomials

100

Factor completely: x²+8x+12

(x+6)(x+2)

200

Factor completely:     m²-11m+18

(m-9)(m-2)

300

Factor completely: x²+5x-24

(x+8)(x-3)

400

Factor completely:       y²-6y-7

(y-7)(y+1)

500

Factor completely:     x²-x-56

(x-8)(x+7)

Find the GCF

100

Find the GCF of 12 and 8

4

200

Find the GCF of 12xy and 18x²y

3xy

300

Find the GCF 20ab³c⁴ and 100b²c

20b²c

400

Find the GCF of g²h⁷b, gbw² and bh³

b

500

Find the GCF of 140n, 140m² and 80m²

20

Factoring by Difference of 2 Squares

100

Factor completely:     4x²-9

(2x+3)(2x-3)

200

Factor completely: 81x²-1

(9x+1)(9x-1)

300

Factor completely:      4x²-16

(2x+4)(2x-4)

400

Factor completely: x⁴-1

(x²+1)(x-1)(x+1)

500

Factor completely:     9x²-16y⁴

(3x+4y²)(3x-4y²)

Factor out the GCF

100

Factor completely: 14n²+10n

2n(7n+5)

200

Factor completely: 18x³-6x

6x(3x²-1)

300

Factor completely: 20m³+25m²-15m

5m(4m²+5m-3)

400

Factor by GCF: 8x⁷-24x⁶+12x⁴

4x⁴(2x³-6x²+3)

500

Factor completely: mx²-18mx+81m

m(x-9)² or m(x-9)(x-9)

Double Distribution

100

(x+1)(x+2)

x²+3x+2

200

(x-7(x-3)

x²-10x+21

300

(2x+5)(x+3)

2x²+11x+15

400

(6x+5)(5x-10)

30x²-55x-50

500

(4x²+2y)(3x²-7y)

12x⁴-22x²y-14y²