factoring by grouping handout steps: 1.make sure the exponents are in descending order. 2.group the...

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Factoring by Grouping Handout Steps: 1. Make sure the exponents are in descending order. 2. Group the first two terms and factor out GCF 3. Group next two terms and factor out GCF. 4. Rewrite as product of GCF’s and what was in the parenthesis (should be same expression in both parenthesis) 5. Factor anything that is left to factor. 20 12 5 3 2 3 x x x #1: 2 3 5 3 x x 5 3 2 x x 20 12 x 5 3 4 x 5 3 4 2 x x 5 3 2 2 x x x Step 4 Step 5

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Page 1: Factoring by Grouping Handout Steps: 1.Make sure the exponents are in descending order. 2.Group the first two terms and factor out GCF 3.Group next two

Factoring by GroupingHandout

Steps:1. Make sure the

exponents are in descending order.

2. Group the first two terms and factor out GCF

3. Group next two terms and factor out GCF.

4. Rewrite as product of GCF’s and what was in the parenthesis (should be same expression in both parenthesis)

5. Factor anything that is left to factor.

201253 23 xxx#1:23 53 xx 532 xx 2012 x 534 x

5342 xx

5322 xxx

Step 4

Step 5

Page 2: Factoring by Grouping Handout Steps: 1.Make sure the exponents are in descending order. 2.Group the first two terms and factor out GCF 3.Group next two

Factoring by Grouping

3468 23 xxx#3:23 68 xx 342 2 xx 34 x 341 x

3412 2 xx

Step 4

Is there anything left to factor?

Handout

Page 3: Factoring by Grouping Handout Steps: 1.Make sure the exponents are in descending order. 2.Group the first two terms and factor out GCF 3.Group next two

Steps:1. Make sure equation is

set equal to zero and the exponents are in descending order.

2. Group the first two terms and factor out GCF

3. Group next two terms and factor out GCF.

4. Rewrite as product of GCF’s and what was in the parenthesis (should be same expression in both parenthesis)

5. Factor anything that is left to factor.

6. Solve all equations for the variable.

Solving Quadratic Equations by Grouping Handout

028872 23 xxx#5: 23 72 xx 722 xx 288 x 724 x

07242 xx

07222 xxx

Step 4

Step 5

0

02x2x

02x2x

072 x72 x

2

7x

Page 4: Factoring by Grouping Handout Steps: 1.Make sure the exponents are in descending order. 2.Group the first two terms and factor out GCF 3.Group next two

Handout0133 23 xxx#7: 233 xx 132 xx 13 x 131 x

01312 xx

01311 xxx

Step 4

Step 5

0

01x1x

01x1x

013 x13 x

3

1x

Page 5: Factoring by Grouping Handout Steps: 1.Make sure the exponents are in descending order. 2.Group the first two terms and factor out GCF 3.Group next two

Handout0271832 23 xxx#9: 23 32 xx 322 xx 2718 x 329 x

03292 xx

03233 xxx

Step 4

Step 5

0

03x3x

03x3x

032 x32 x

2

3x

Page 6: Factoring by Grouping Handout Steps: 1.Make sure the exponents are in descending order. 2.Group the first two terms and factor out GCF 3.Group next two

Homework

• Take Home Test

–DUE TUESDAY IN CLASS