GCF
Factoring
Factor with constant
Difference of Squares
Perfect trinomials
100

What is the GCF of  6x2-12x - 24?

6

100
x^2+3x-4
(x-4)(x+1)
100

3x^2+6x+3

3(x+1)^2

100
x^2-25
(x-5)(x+5)
100
x^2+18x+91
(x+9)^2
200

What is the GCF of 24xy and 16x2y?

8xy

200
x^2-16x+63
(x-9)(x-7)
200
2x^2-8x+8
2(x-2)^2
200
4x^2-49
(2x-7)(2x+7)
200
x^2-8x+16
(x-4)^2
300

3x4-15x2-18x

3x(x3-5x-6)

300
14x^2-3x-2
(7x+2)(2x-1)
300
3x^2-12x+12
3(x-2)^2
300
64x^2-y^2
(8x-y)(8x+y)
300
x^2+4xy+4y^2
(x+2y)^2
400

What 2 types of factoring do I have to do for this problem?  2y2-8

GCF and DOTS

400
6x^2-11x+3
(2x-3)(3x-1)
400
5x^2+30x+45
5(x+3)^2
400
-5x^2+20
-5(x-2)(x+2)
400
9x^2-6x+1
(3x-1)^2
500

What is the GCF of 48xyz and 16x2z

16xz

500
7x^2+11x-30
(7x-10)(x+3)
500
-3x^2-18x-27
-3(x-6)^2
500
12x^2-48
3(2x-4)(2x+4)
500
25x^2-30x+9
(5x-3)^2
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