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 9x²+6x+1

(3x+1)(3x+1)

300

Factor 2x²-x-6

(x-2)(2x+3)

400

Factor 4y²+12y+9

(2y+3)(2y+3)

500

Factor: 4x²-3x-10

(4x+5)(x-2)

Factor using the GCF

100

Factor 3x²-12x

3x(x-4)

200

Factor: 4x³-16x²

4x(x-4)

300

Factor: 6y²+24y-33

3(2y²+8y-11)

400

Factor: 10x²y³-15xy⁴

5xy³(2x-3y)

500

3xy-12x²y²+9x³y³

3xy(1-4xy+3x²y²)

Factor completely

100

Factor completely: a²b²-144a²

a²(b+12)(b-12)

200

Factor completely: 4x⁴-16x²

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

300

Factor completely: y⁴-81

(y²+9)(y+3)(y-3)

400

Factor completely: 2x³+14x²-60x

2x(x+10)(x-3)

500

Factor completely: 5d²-10d-15

5(d-3)(d+1)

Factoring the difference of two perfect squares

100

Factor: x²-16

(x+4)(x-4)

200

Factor: 9-x²

(3+x)(3-x)

300

Factor: 25y²-4k²

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

400

Factor: 25x²-49

(5x+7)(5x-7)

500

Factor: x²+100

Can not be factored because of the plus sign.