FACTORING POLYNOMIALS

Factoring trinomials (a=1)

100

x²+8x+12

(x+6)(x+2)

200

m²-11m+18

(m-9)(m-2)

300

x²+5x-24

(x+8)(x-3)

400

y²-6y-7

(y-7)(y+1)

500

x²-x-56

(x-8)(x+7)

Factoring Trinomials (a>1)

100

2x²+7x+3

(2x+1)(x+3)

200

5n²+26n+5

(5n+1)(n+5)

300

3x²-10x+7

(3x-7)(x-1)

400

7x²-36x+5

(7x-1)(x-5)

500

2x²-12x+10

2(x-1)(x-5)

Factoring by Difference of 2 Squares

100

4x²-9

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

200

81x²-1

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

300

4x²-16

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

400

25x²+30x+9

(5x+3)(5x+3)

500

9x²-16y²

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

Factoring out GCF

100

14n²+10n

2n(7n+5)

200

18x³-6x

6x(3x²-1)

300

20m²+5m-15

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

400

mx²-18mx+81m

m(x-9)²

500

26y-6y²-8

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

Factoring by Grouping

100

x²+2x+4x+8

(x+2)(x+4)

200

xy-5x+9y-45

(x+9)(y-5)

300

3x³-2x²-6x+4

(x²-2)(3x-2)

400

cx-dx+dy-cy

(c-d)(x-y)

500

xⁿyⁿ-xⁿ+2yⁿ-2

(xⁿ+2)(yⁿ-1)