1. Objective #1
To be able to factor equations by finding the Greatest Common Factor (GCF)

2. 2x2 + 6x = 2  x  x + 2  3  x 2x(x + 3) Factor (#1) Now Check it!
2x is the GCF
2x(x + 3)
Now Check it!

3. Check it
2x(x + 3) =
2x2 + 6x

4. a(3bc - 2 +3b) 3  a  b  c - 2  a + 3  a  b Factor (#2)
3abc - 2a + 3ab = 3  a  b  c - 2  a + 3  a  b
3  a  b  c - 2  a + 3  a  b
a is the GCF
a(3bc b)
Now Check it!

5. Check it
a(3bc b) =
3abc - 2a + 3ab

6. Rules
Your
Turn
1.) When it says you are to show your work on a separate piece of paper including the checks.
2.) Stop when you see

7. Factor (#3)
2x - 10 =
Your Turn
Do the problem
on your paper
FIRST

8. 2x - 10 = 2  x - 2  5 2(x - 5) 2  x - 2  5 Factor (#3) Your Turn
2 is the GCF
2(x - 5)
Now Check it!

9. Check it
2(x - 5) =
2x - 10

10. Your Turn
Factor (#4)
8x + 24y =
Do the Problem
on your paper
FIRST

11. Your Turn
Factor (#4)
8x + 24y = 2  2  2  x + 2  2  2  3  y
2  2  2  x + 2  2  2  3  y
8 is the GCF
8(x + 3y)
Now Check it!

12. Check it
8(x + 3y) =
8x + 24y