1. 1.5 Distributing and Factoring
Objectives:
1.) Distributive property
2.) Factoring

2. Distributive Property a(b + c) = ab + ac
a(b + c) and ab + ac are equivalent expressions

3. Example 1:
5 (2x + 3)=
10x
+ 15

4. Example 2:
4 (3y - 2)=
12y
- 8

5. Example 3:
(3t - 7)6 =
- 42
18t

6. Example 5:
5(3k + 7n -1) =
15k
+ 35n
- 5

7. Factoring ab + ac = a(b + c)

8. Steps To Factoring:
1.) Find a # that is divisible by all numbers 2.) Take that # out and put it on the outside of the ( ) 3.) Divide the # you factored out by EVERY TERM and put your answer inside the ( ) **Make sure your final answer is completely factored**

9. Ex 6: Factor: 3x + 3y
3(x + y)

10. Ex 7: Factor: 5x + 10
5•x + 5 •2
5(x + 2)

11. Ex 8: Factor: 9x + 27y - 18
9x + 9(3)y – 9(2)
9(x + 3y - 2)

12. Ex 9: Factor: x
3(4 + x)

13. Ex 10: Factor: 3xy +5x +7xz
Answer: x( 3y+ 5 +7z)

14. Ex 11: Factor: 6x +3y +21
Answer: 3(2x +y +7)

15. Ex 12: Factor: 4 +8y +14z
Answer: 2(2+4y+7z)

16. 2.) Write down the problem
Homework
Page 27
(2-34) even
Remember to:
1.) Title
2.) Write down the problem
3.) Show work
4.) Highlight answer