Factoring Polynomials
[Pages:30]Name ______________________________ Period ________
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
Page 2
Page 3
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)
Page 4
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)
Page 5
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
Page 6
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
Page 7
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
Page 8
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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