Identify the GCF
Factor by GCF
Factor by Grouping
Factor Trinomials
Miscellaneous
100

24 and 36

What is 12?

100

4x2 - 40

What is 4(x2 - 10)

100

m3 - m2 + 2m - 2

What is (m2 + 2)(m - 1)?

100

x2 + 8x + 12

What is (x + 6)(x + 2)?

100

The way you can check your work to see if you factored correctly. 

What is multiplication?

200

18x and 27

What is 9? 

200

2m5 + 14m3

What is 2m3(m2 + 7)?

200

12a3 - 9a2 + 4a - 3

What is (3a2 +1)(4a - 3)?

200

2a2 + 5a - 12

What is (a + 4)(2a - 3)?

200

This is ALWAYS the first step in factoring.

What is looking for a GCF

300

-35x4, 7x2, 84x8

What is -7x2?

300

-15x2 + 10x

What is -5x(3x - 2)?
300

5x3 - 10x2 + 3x - 6

What is (5x2 + 3)(x - 2)?

300

4n2 - 15n + 9

What is (4n - 3)(n - 3)?

300

This is the reason we bother learning factoring.

What is solving quadratic functions?

What is finding zeros of a quadratic function? 

400

12x2yand 32x4y3

What is 4x2y2?

400

-9x7y5 + 3y6x2

What is -3x2y5(3x5 - y)?

400

x5 - 3x3 - 5x2 + 15

What is (x3 - 5)(x2 - 3)?

400

7x2 - 7x - 504

What is 7(x - 9)(x + 8)?

400

Factor: 9x2 - 121

What is (3x + 11)(3x - 11)?

500

39v2, 30u3v, 18u2v4

What is 3v? 

500

18m4n3 - 27m2n2 - 45m2n

What is 9m2n(2m2n2 - 3n - 5)?

500

21xy + 14xb - 18by - 12b2

What is (7x - 6b)(3y + 2b)?

500

4x3 + 16x2 - 20x

What is 4x(x + 5)(x - 1)?

500

Miss Shrider's favorite topic that will show up on your final exam (hint: it is NOT factoring!)

What is polynomial operations?

(adding, subtracting, and multiplying polynomials)