Factoring Polynomials

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Factoring Polynomials:

Classwork/Practice Packet

Lesson 1: Lesson 2: Lesson 3: Lesson 4: Lesson 5: Review: Lesson 6: Lesson 7:

Lesson 8: Review

Using the Greatest Common Factor and the Distributive Property to Factor Polynomials Solving Literal Equations by Factoring

Finding Factors, Sums, and Differences

Factoring Trinomials of the Form 2 + +

Factoring Binomials that are the Difference of Two Perfect Squares WHAT AM I? HOW DO I FACTOR? More Review Prime Polynomials

Factoring Expressions Completely Factoring Expressions with Higher Powers

Factoring Trinomials of the form 2 + + , where 1

More Practice Factoring with Pizzazz worksheets

pg. 3

pg. 5 pg. 6 pg. 7 pg. 9

pg. 10 pg. 11 pg. 13 pg. 14

pg. 15 pg. 16-30

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Lesson 1: Factoring using the Greatest Common Factor

Factor each expression by factoring out the GCF.

1.) -

2.) 92 - 3

3.) 21 - 15

4.) 273 + 182

5.) 122 - 16

6.) 285 - 72

7.) 22 - 2

8.) 83 + 162

9.) 43 + 22 + 8

Factor each expression by factoring out the GCF.

10.) ( + 2) + 7( + 2)

11.) 2( + 4) - 3( + 4)

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12.) 4( - 3) - 2( - 3)

13.) 5(2 - 3) + 6(2 - 3)

14.) (3 + 1)(4 + 1) + ( + 2)(4 + 1) 15.) (2 + 5)( - 4) - ( - 4)(5 + 2)

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Lesson 2: Solving Literal Equations

Solve each equation for the given variable.

1.) Solve for : + = -

2.) Solve for : = 2 + 2 + 2

3.) Solve for : = 22 + 2

4.) Solve for :

5.) If 9 + 2 - , then equals 6.) If + + , then is equal to

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Lesson 3: Finding Factors, Sums, and Differences

Find two factors whose product and sum is as indicated:

Product -6 36 -16 -4 -33 20 6 81 -12 55 48 100 -49 7 3 -28 21 56 -22

Sum 1

-13 -6 0 8 9 -7 -18 -1 -56 14 25 0 8 -4 3 10 15 9

Factors

Product -56 35 -32 -24 -42 6 14 1 -6 -121 -32 25 -40 -52 -6 1 54 16 -27

Sum 1 12 -3 5 -1 -5 -9 2 5 0 14

-24 6 -9 -5 -2

-15 10 6

Factors

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Lesson 4: Factoring Trinomials of the form + +

Factor each trinomial. 1. ) 2 - 6 - 16

2.) 2 + 14 + 24

3.) 2 - 8 + 7

4.) 2 - 8 - 9

5.) 2 + 4 - 5

6.) 2 + 5 - 36

7.) 2 - 15 + 44

8.) 2 + - 110

9.) 2 - 16 + 55

10.) 2 - 13 + 12

11.) 2 - 10 + 21

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12.) 2 - 9 + 14

13.) 2 - 12 + 11

14.) 2 - 7 + 12

15.) 2 - 22 + 21

16.) 2 + 10 + 242

17.) 2 - 13 + 422

18.) 2 + 23 + 422

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