2 (B.4) 9-2 Factoring by Grouping.notebook

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March 10, 2014

Warm-up

1.

Factoring using the GCF method.

2.

3.

Today's Agenda* Warm-Up

* Classwork* Homework

* 9.2 Factoring using the distributive property

* Homework Review

Homework Answers

1. 4(6v + 1)2. -3b3(2b – 1)3. 9n3(2n5 – 5)4. 10k3(3k2 – 2)5. -4y4(3y2 – 2x5)6. y(7x3y2 + 9)

7. 4n(8n3 – 3n + 4)8. 3x5(10 – 5x + 8x3)9. 3a(7a2 – 8a – 4)10. -4r(3r3 + r2 – 2)11. 8xy(9x2 – 10y2 + 9y)12. 6(4 + 3xy +7x)

9.2 Factoring using reverse distribution

(Factoring by Grouping)

Benchmark: B.4 - Factoring by grouping and GCF.

Goals: Factor polynomials by grouping.

(4 term factoring.)

1. Group the first two terms together and group the last two terms together.

Factoring by Grouping Steps

5. Group the GCFs in one set of parentheses and group the common factors in the other parentheses.

4. Check to make sure both parentheses are the same.

2. Factor out the GCF from the first group.

3. Factor out the GCF from the second group.

3(x + 2) – x(2 + x) are the same4(x – 2)+ x(2 – x) are not the same

Factor by grouping.

Example 1

2 (B.4) 9-2 Factoring by Grouping.notebook

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March 10, 2014

Factor by grouping.

Example 2

Factor by grouping.

Example 3

Factor by grouping.

Example 4 Classwork

Complete the Factor by Grouping WS #1

Factor by grouping.

Example 5

Factor by grouping.

Example 6

2 (B.4) 9-2 Factoring by Grouping.notebook

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March 10, 2014

Factor by grouping.

Example 7

Factor by grouping.

Example 8

2. Check to see if they are opposites. If yes, pull out a negative from the second and fix!

My Parentheses Don't Match !?!

1. Check to see if you have taken out the proper GCF.

3. Rearrange the original problem so you know there are things in common.

Ex. 2(x – y) + 3x(y – x) 2(x – y) – 3x(x – y)

Ex. 5xy + 3 + x + 15y 5xy + x + 15y + 3

Ex. 2(x – y) + x(3x – 3y) 2(x – y) + 3x(x – y)

Factor by grouping.

Example 9

Factor by grouping.

Example 10

Factor by grouping.

Example 10

2 (B.4) 9-2 Factoring by Grouping.notebook

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March 10, 2014

Classwork

p. 484 #30-36, 38, 39

I You a Question

Factoring by Grouping

Please solve the questions on your Ticket Out the Door.

On the back - How did you do today?

Green - I can do this! This is easy!Yellow - I'm getting there.Red - I need help!

Almost Finished...Take out your agenda - copy down due dates

Standard Checks

Homework

9-2 Factor by Grouping HW (B.4)

Do NOT pack up until you are told to do so!

Tests