1. Do Now

2. Announcements
We will go over the data from the Unit 2 Test on Thursday.
Starting a new unit – quadratics
First Interim Assessment – 9/11/2014
First Mock ACT - 9/12/2014

3. Factoring Out the GCF
3.1

4. Today’s Objective
SWBAT factor out the GCF, including numbers & variables.

5. Vocabulary Word Definition Example Greatest Common Factor (GCF)
The largest term (numbers and variables) that divides exactly into two or more terms
The GCF of 4 𝑥 2 and 6𝑥 is 2𝑥

6. Finding the GCF
Looking for the largest term that EVERYTHING can be divided by.
40, 20
6, 14

7. Finding the GCF
24, 30 18, 36 48, 18

8. Finding the GCF - Variables
Variables: look for the smallest exponent
ALL terms must have the same variable
Why does this work?

9. Finding the GCF - Variables
𝑥 3 , 𝑥 7 𝑦 2 , 𝑦 𝑥, 3 𝑥 4

10. Mixing the Numbers and Variables
Need to look at the coefficients and the variables!
40 𝑦 3 , 20𝑦

11. Mixing the Numbers and Variables
Find the GCF:
36𝑦, 26𝑦
21 𝑦 4 , 49 𝑦 3 , 14𝑦
Type equation here.

12. Pulling Out the GCF Find the GCF for ALL terms in the expression.
GCF goes outside the parentheses.
Divide each term in the expression by the GCF (go inside the parentheses).

13. Exemplar 1
Factor out the GCF:
21𝑛−6

14. Exemplar 2
Factor out the GCF:
7 𝑥 3 −2 𝑥 2

15. Exemplar 3
Factor out the GCF:
−18 𝑎 2 −27𝑎−90

16. Exemplar 4
Factor out the GCF:
24 𝑥 3 −9 𝑥 2 −27𝑥

17. Trying a few… Factor out the GCF: 2 𝑥 2 +12𝑥−6 3 𝑎 4 +18 𝑎 2 +30𝑎
−4 𝑥 6 + 𝑥 5

18. Independent Practice Complete the worksheet on a separate page.
We will work this time on Code Red.

19. Exit Ticket

20. Homework
Finish the IP worksheet.