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 + 35 Both the 7x and 35 are divisible by 77(x + 5) By removing the 7 we have factored the problemWe can check our work by using the distributive property to see that the two expressions are equal.

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 signs4a + 6a + 8ab = 2a(2 + 3 + 4b)

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

32 Factor the following: 4p + 24qA 4 (p + 24q)B 2 (2p + 12q)C 4(p + 6q)D 2 (2p + 24q)

33 Factor the following: 5g + 15h

A 3(g + 5h)B 5(g + 3h)C 5(g + 15h)D 5g (1 + 3h)

34 Factor the following: 3r + 9rt + 15rxA 3(r+ 3rt + 5rx)B 3r(1 + 3t + 5x)C 3r (3t + 5x)D 3 (r + 9rt + 15rx)

35 Factor the following: 2v+7v+14vA 7(2v + v + 2v)B 7v(2 + 1 + 2)C 7v (1 + 2)D v(2 + 7 + 14)

36 Factor the following: -6a - 15ab - 18abc

A -3a(2 + 5b + 6bc)B 3a(2+ 5b + 6bc) C -3(2a - 5b - 6bc)D -3a (2 -5b - 6bc)

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

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