FACTORING POLYNOMIALS

Factoring Trinomials - a = 1

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)

Factoring Trinomials- a>1

100

Factor completely: 2x²+7x+3

(2x+1)(x+3)

200

Factor completely: 5n²+26n+5

(5n+1)(n+5)

300

Factor completely:    3x²-10x+7

(3x-7)(x-1)

400

Factor completely:    7x²-36x+5

(7x-1)(x-5)

500

Factor completely:    2x²-12x+10

2(x-1)(x-5)

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: 

32x² - 2

2(4x +1)(4x-1)

500

Factor completely:     9x²-16y²

(3x+4y)(3x-4y)

Factor by GCF

100

Factor completely: 14n²+10n

2n(7n+5)

200

Factor completely: 18x³-6x

6x(3x²-1)

300

Factor completely: 20m²+5m-15

5(4m-3)(m+1)

400

Factor completely: mx²-18mx+81m

m(x-9)²

500

Factor completely:   26y-6y²-8

2(y-4)(-3y+1)

Misc.

100

Factor completely:25x² - 9y²

(5x + 3y)(5x - 3y)

200

Factor completely:    100y - 20y² + 40xy

20y(5 - y + 2x)

300

Factor completely:  25y - 30x²y⁴

5y(5 - 6x²y³

400

Factor completely:  2x² - 3x + 1

(2x - 1)(x-1)

500

Factor completely: x² - 6x + 9

(x - 3)²