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

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!

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

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 - 2 +3b) Now Check it!

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

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

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

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!

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

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

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!

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