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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

Factoring Out the GCF 3.1

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

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

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

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

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

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

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

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

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).

Exemplar 1 Factor out the GCF: 21𝑛−6

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

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

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

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

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

Exit Ticket

Homework Finish the IP worksheet.