REVIEW ON FACTORING

Factoring trinomials when a=1

100

Factor: x²+10x+25

(x+5)(x+5)

200

Factor: x²-12x+27

(x-9)(x-3)

300

Factor into two binomials: x²+10x-24

(x+12)(x-2)

400

Factor into two binomials: x²-5x+6

(x-3)(x-2)

500

Factor into two binomials: x²+7x+18

Prime

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: 90x²-27x+108

(18x-7)(5x-4)

Complex Factoring

100

Factor 3x²-12x

3x(x-4)

200

8³-144x

8x(x-4)(x+4)

300

Factor: 2x²-xy-6y²

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

400

Factor: 4ab²-12a²b

4ab(b-3a)

500

Factor: x^b+1-x^b

x^b (x-1)

Factor completely

100

Factor completely: a²b²-144a²

a²(b+12)(b-12)

200

Factor completely: x⁴-625

(x+5)(x-5)(x²+25)

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: 80-5d²

5(4+d)(4-d)

Squares and Cubes

100

Factor: x²-16

(x+4)(x-4)

200

Factor: 9-x²

(3+x)(3-x)

300

25y²-4k²

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

400

27x³-8

(3x-2)(9x²+6x+4)

500

1-x³

(1-x)(1+x+x²)