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 completely

100

Factor completely: a^2b^2-144a^2

a^2(b+12)(b-12)

200

Factor completely: x^4-625

(x+5)(x-5)(x^2+25)

300

Factor completely: y^4-81

(y^2+9)(y+3)(y-3)

400

Factor completely: 2x^3+14x^2-60x

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

500

Factor completely: 80-5d^2

5(4+d)(4-d)

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.

Factor By Grouping

100

3x^2 - 3x + 1 - x

(3x -1 ) (x - 1)

200

12xy + 9x - 20y -15

(4y + 3) ( 3x - 5 )

300

x^3-4x^2+3x-12

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

400

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

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

500

ab+ac+db+dc

(a+d)(b+c)