Factoring Trinomials
Factor Completely
Zero property
Factor by GCF
Binomials
100

Factor x^2+8x+12


(x+6)(x+2)



100

9x^2-1


(3x-1)(3x+1)



100

(b-4)(3b-1)=0

(3b-1)       (b-4)

b=1/3         b=4

100

Factor by GCF 14n^2+10n


2n(7n+5)



100

2x - 4


2(x - 2)



200

Factor m^2-11m+18

(m-9)(m-2)


200

x^2+16x+64


(x+8)^2



200

(r+5)(r-3)=0

r+5        r-3

r=-5        r=3

200

Factor by GCF 18x^3-6x


6x(3x^2-1)



200

5x + 30


5(x + 6)



300

Factor 5n^2+26n+5


(5n+1)(n+5)



300

x^10-z^8


(x^5-z^4)(x^5+ z^4)



300
(x-2)(x+3)

x-2      x+3

x=2      x=-3

300

Factor by GCF 8-4a^2


4(2-a^2)



300

x^2-16


(x + 4)(x - 4)



400

Factor 3x^2+7x+4


(3x+4)(x+1)



400

Factor 4m^3+10m^2-36m


2m(m-2)(2m+9)



400

(n+3)(6n+1)

n+3          6n+1

n=-3         n=-1/6

400

Factor by GCF 4x^4+16x^3-8x^2


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



400

4x^2 -25


(2x - 5)(2x + 5)



500

Factor 6x^2+x-2


(2x-1)(3x+2)

500

Factor 30t^3+50t^2-20t


5t(3t - 1)(2t + 4)



500

(v+8)(2v-5)

v+8        2v-5

v=-8       v=2.5 or 5/2

500

Factor by GCF 10a^3b^4-6a^2b^6


2a^2 b^4(5a-3b^2)



500

3x^2 -12


3(x + 2)(x - 2)