REVIEW ON FACTORING

Factoring trinomials when a=1

100

Factor into two binomials: x²+10x+25

(x+5)(x+5)

200

Factor into two binomials: x²-12x+27

(x-9)(x-3)

300

Factor into two binomials: x²+2x-24

(x+6)(x-4)

400

Factor into two binomials: x²-5x+6

(x-3)(x-2)

500

Factor into two binomials: y⁴-7y²-18

(y²-9)(y²-2)

Factoring trinomials when a>1

100

Factor 2x²-7x+6

(2x-3)(x-2)

200

Factor x²+5x+6

(x+2)(x+3)

300

Factor x²-x-6

(x+2)(x-3)

400

Factor y² -10y+9

(y-9)(y-1)

500

Factor: x²-bx-ax+ab

(x-a)(x-b)

Factor using the GCF

100

Factor 3x²-12x

3x(x-4)

200

Factor: x³-3x

x(x²-3)

300

Factor: 12x²y³ -6xy

6xy(2xy²-1)

400

Factor: 4ab²-12a²b

4ab(b-3a)

500

ab²c³-2a²bc

abc(bc²-2a)

Factoring he difference of two perfect squares

100

Factor: x²-16

(x+4)(x-4)

200

Factor: 9-x²

(3+x)(3-x)

300

25y²-4k²

(5y+2k)(5y-2k)

400

x²-49

(x-7)(x+7)

500

x²+100

Can not be factored because of the plus sign.