FACTORING POLYNOMIALS

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)

Factoring Trinomials (AC Method and Perfect Square Trinomials)

100

Factor completely: 2x²+7x+3

(2x+1)(x+3)

200

Factor completely: 5n²+14n+8

(5n+4)(n+2)

300

Factor completely: 25x²+30x+9

(5x+3)(5x+3)     or (5x+3)²

400

Factor completely: 81x²-72x+16

(9x-4)(9x-4)         or     (9x-4)²

500

Factor completely:    4x²-28x+49

(2x-7)(2x-7)    or    (2x-7)²

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

4(x-2)(x+2)       or     (2x+4)(2x-4)

400

Factor Completely:

x⁴-16

(x²+4)(x-2)(x+2)

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)

Factor by Grouping

100

Factor completely: x²+2x+4x+8

(x+2)(x+4)

200

Factor completely:    xy-5x+9y-45

(x+9)(y-5)

300

Factor completely:    3x³-2x²-6x+4

(x²-2)(3x-2)

400

Factor completely:    cx-dx+dy-cy

(c-d)(x-y)