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: 2x^2+x-6

(x+2)(2x-3)

Factor using the GCF

100

Factor the GCF:  3x^2 + 18y

3(x^2  + 6y)

200

Factor: 4x^2 + 20x

4x(x+5)

300

Factor using GCF: x^9 + x^20

x^9(1+ x^11)

400

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

4ab(b-3a)

500

Factor out the GCF: 3x^5 - 6x^6

3x^5(1-2x)

Factor completely

100

Factor completely: x^2y^2-144x^2

x^2(y+12)(y-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: x^2 + 9

Not factorable.

300

100x^2- 4

(10x-4)(10x+4)

400

25x^2 - 9y^2

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

500

x^2+100

Can not be factored because of the plus sign.