REVIEW ON FACTORING

Factoring Constants

100

Factor: 6

1 2 3 6  

200

Factor: 30

1 2 3 5 6 15 30

300

Factor: 50

1 2 5 10 25 50

400

Factor: 100

1 2 4 5 10 20 25 50 100

500

Factor 7

Can not be factored because it is prime

Factor using the GCF

100

Factor 3x^2-12x

3x(x-4)

200

Factor: wx^(4)-5x^4

x^4 (w-5)

300

Factor: 6b^2-18a^2b

6b(b-3a^2)

400

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

4ab(b-3a)

500

35x^2y^3-40x^3

5xy^2(7xy-8x^2)

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)