1. We can also use the Distributive Property in reverse. This is called Factoring. When we factor an expression, we find all numbers or variables that divide into all of the parts of an expression. Example: 7x + 35Both the 7x and 35 are divisible by 7 7(x + 5)By removing the 7 we have factored the problem We can check our work by using the distributive property to see that the two expressions are equal.

2. We can factor with numbers, variables, or both. 2x + 4y = 2(x + 2y) 9b + 3 = 3(3b + 1) -5j - 10k + 25m = -5(j + 2k - 5m) *Careful of your signs 4a + 6a + 8ab = 2a(2 + 3 + 4b)

3. Try these: Factor the following expressions: 1.) 6b + 9c = 2.) -2h - 10j = 3.) 4a + 20ab + 12abc =

4. 32Factor the following: 4p + 24q A4 (p + 24q) B2 (2p + 12q) C4(p + 6q) D2 (2p + 24q)

5. 33Factor the following: 5g + 15h A3(g + 5h) B5(g + 3h) C5(g + 15h) D5g (1 + 3h)

6. 34Factor the following: 3r + 9rt + 15rx A3(r+ 3rt + 5rx) B3r(1 + 3t + 5x) C3r (3t + 5x) D3 (r + 9rt + 15rx)

7. 35Factor the following: 2v+7v+14v A7(2v + v + 2v) B7v(2 + 1 + 2) C7v (1 + 2) Dv(2 + 7 + 14)

8. 36Factor the following: -6a - 15ab - 18abc A-3a(2 + 5b + 6bc) B3a(2+ 5b + 6bc) C-3(2a - 5b - 6bc) D-3a (2 -5b - 6bc)

9. -What divides into the expression: -5n - 20mn - 10np

10. -If a regular pentagon has a perimeter of 10x + 25, what does each side equal?