Section 10.8. Warm Up Factor completely: 100x² - 121 (10x – 11)(10x + 11)

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Factor these on your own looking for a GCF. Try these on your own:

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Presentation transcript:

Section 10.8

Warm Up Factor completely: 100x² (10x – 11)(10x + 11)

Homework Check / Questions

Factoring Out the GCF NOTE NOTE: We have done this already, but now we are doing it right away always The first step of factoring is always checking to see if you can factor out the GCF. If you can: then do it and factor what left inside the parenthesis. If you cannot: then go ahead and factor in the ways we already have!

1. Factor out GCF (What’s multiplied into every term?) 2. Factor what’s left in parenthesis 45: 1, 3, 5, 9, 15, 45 20: 1, 2, 4, 5, 10, 20

You Try! Factor: 27w³ - 3w. 3w(3w+1)(3w-1)

Too Easy? Factor: 5x ³ - 25x ² - 30x. 5x(x – 6)(x + 1)

You’re Bored? Factor: 75x – 3x ². -3x(x – 25)

Factoring by Grouping We’ve already done this within a different context. We are distributing backwards!

1. Put parenthesis around first two and last two terms. (Put a “+” in between.) 2. Factor out GCF from each pair. 3. Reverse distribute. 4. Factor anything that still needs to be factored.

When do I factor by grouping? When there are 4 terms!

Your turn! Factor x ³ - 2x ² - 9x (x + 3)(x – 3)(x – 2)

Keep ‘em comin’. Factor x ³ + 2x ² - 36x - 72 (x + 6)(x – 6)(x + 21)

Round Table Activity! We will get into small groups Each person will get a worksheet After a set amount of time, everyone must rotate papers You must pick up from where the previous person left off on the paper. You cannot go back and fix problems that have already been finished. If the person was in the middle of a problem, you can edit that specific problem At the end, your group can discuss the problems to see if there needs to be any changes At the end, you will staple your group’s pages together

Homework: pg. 632 #14-24 even