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: y^4-7y^2-18

(y^2-9)(y^2-2)

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+12y+9

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

500

Factor: ax^2-bx-ax+b

(x-1)(ax-b)

Factor using the GCF

100

Factor 3x^2-12x

3x(x-4)

200

Factor: x^(b+1)-x^b

x^b (x-1)

300

Factor: y^(a+2)+2y^a

y^a (y^2+2)

400

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

4ab(b-3a)

500

x^(2+k)-4x^4

x^2(x^k-4x^2)

Factor By Grouping

100

2x^3+7x^2+2x+7

(x^2+1)(2x+7)

200

x^3-6+2x-3x^2

(x^2+2)(x-3)

300

2x^3-x^2-10x+5

(2x-1)(x^2-5)

400

10x^3-15x^2-4x+6

(2x-3)(5x^2-2)

500

ab+ac+db+dc

(a+d)(c+b)

Factoring he 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

(1/4)x^2-(49/25)

(1/2x-7/5)(1/2x+7/5)

500

x^2+100

Can not be factored because of the plus sign.