REVIEW ON FACTORING

Factoring trinomials when a=1

100

Factor into two binomials: x^2+10x+25

(x+5)(x+5)

200

Factor into two binomials: x^2-12x+27

(x-9)(x-3)

300

Factor into two binomials: x^2+2x-24

(x+6)(x-4)

400

Factor into two binomials: x^2-5x+6

(x-3)(x-2)

500

Factor into two binomials: 5v^2-40y-45

5(y-9)(y+1)

Factoring trinomials when a>1

100

Factor 2x^2-7x+6

(2x-3)(x-2)

200

Factor 9x^2+6x+1

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

300

Factor 2x^2-x-6

(x-2)(2x+3)

400

Factor 4y^2+2y-2

2(y+1)(2y-1)

500

Factor: 9x^3+15x^2+6x

3x(3x+2)(x+1)

Factor using the GCF

100

Factor 3x^2-12x

3x(x-4)

200

Factor: x^3-x^4

x^3 (1-x)

300

Factor: y^2+2y^3

y^2 (1+2y)

400

Factor: 4ab^2-12a^2b

4ab(b-3a)

500

x^2-4x^4

x^2(1-4x^2)

Factoring by Grouping

100

Factor completely: a^3+2a^2+9a+18

(a+2)(a^2+9)

200

Factor completely: k^3+2k^2-5k-10

(k+2)(k^2-5)

300

Factor completely: 9y^3+18y^2+y+2

(y+2)(9y^2+1)

400

Factor completely: 12a^3+4a^2+3ab+b

(3a+1)(4a^2+b)

500

Factor completely: u^3-u^2v+uv^2-v^3

(u-v)(u^2+v^2)

Factoring the difference of two perfect squares

100

Factor: x^2-16

(x+4)(x-4)

200

Factor: 9-x^2

(3+x)(3-x)

300

25y^2-4k^2

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

400

36x^2-16

4(3x-2)(3x+2)

500

x^2+100

Prime