REVIEW ON FACTORING

Factoring trinomials when a=1

100

Factor into two binomials: x²+10x+25

(x+5)(x+5)

200

Factor into two binomials: x²-12x+27

(x-9)(x-3)

300

Factor into two binomials: x²+2x-24

(x+6)(x-4)

400

Factor into two binomials: x² -5x +6

(x - 3)(x - 2)

500

x² -23x -24

(x - 24)(x + 1)

Factoring trinomials when a>1

100

x² +9x + 8

(x + 1)(x +8)

200

x² +6x + 9

(x + 3)(x + 3)

300

x² -7x - 18

(x - 9)(x + 2)

400

x² -4x -12

(x - 6)(x + 2)

500

x² -3x -10

(x - 5)(x + 2)

Factor using the GCF

100

Factor 3x²-12x

3x (x - 4)

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 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: x²-16

(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.