1. Factoring GCF’s, differences of squares, perfect squares, and cubes

2. Objectives You will be able to factor: Greatest common factors
Differences of squares
Perfect squares
Sums and differences of cubes

3. Greatest common factor (GCF)
Definition:
Coefficient and variables that are common to all terms in a polynomial
Ex 1:
GCF:
Factored Form:
Ex 2:
GCF:
Factored Form:
Ex 3:
GCF:
Factored Form:

4. Practice 1. 2. 3. 4. 5. 6.

5. Differences of Squares
Formula:
Ex 1:
Ex 2:
Ex 3:
Ex 4:
PRIME! It’s not a difference!
Ex 5:

6. Sums and Differences of Cubes
Formula:
Ex 1:
a=x
b=2
Try 2:
Ex 3:
Try 4:

7. Perfect square trinomials
Formula:
Figure it out
How do we go from here
to here?

8. Perfect square trinomials
Formula:
Ex 1:
Ex 2:
Ex 3:
Ex 4:
Ex 5:

9. Factoring Completely Always look for a GCF first
Check the result to see if it can be factored further 1. 2. 3. 4. 5.