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: 4x²-12xy+5y²

(2x-5y)(2x-y)

Factor using the GCF

100

Factor 3x²-12x

3x(x-4)

200

Factor: 12x+18

6(2x+3)

300

Factor: 5y³-10y²

5y²(y-2)

400

Factor: 4a²b²+8ab²-12ab

4ab(ab+2b-3)

500

24x⁵y⁴-36x³y⁶+60x²y³

12x²y³(2x³y-3xy³+5)

Factor completely

100

Factor completely: a²b² - 144a²

a²(b+12)(b-12)

200

Factor completely: x⁴-16

(x+2)(x-2)(x²+4)

300

Factor completely: y⁴-256

(y²+16)(y+4)(y-4)

400

Factor completely: 2x³+14x²-60x

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

500

Factor completely: 80-5d²

5(4+d)(4-d)

Factoring the 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

4x²-64

4(x+4)(x-4)

500

x²+100

Can not be factored because of the plus sign.