december 02, 2015 - weebly · day 5 common factoring.notebook 1 december 02, 2015 sep 2609:46...

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Day 5 Common Factoring.notebook 1 December 02, 2015 Sep 2609:46 Learning Goals I know that some polynomials can be factored by finding the GCF (greatest common factor) I know that the GCF for a polynomial may be a constant, a variable, or both I know that if the area of a rectangle is given as a polynomial, you can factor the polynomial to find the possible side lengths of the rectangle Common Factoring Vocabulary Factor: to express a number as the product of two or more numbers to express an algebraic expression as the product of two or more algebraic expressions Nov 35:13 PM Factoring is the reverse process of expanding: The expression 5(x + 7) is the factored form The expression 5x + 35 is the expanded form The greatest common factor (GCF) is 5 Sometimes the GCF contains a variable: In this case the GCF is 2x

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Page 1: December 02, 2015 - Weebly · Day 5 Common Factoring.notebook 1 December 02, 2015 Sep 2609:46 Learning Goals •I know that some polynomials can be factored by finding the GCF (greatest

Day 5 ­ Common Factoring.notebook

1

December 02, 2015

Sep 26­09:46

Learning Goals• I know that some polynomials can be factored by finding the GCF (greatest common factor)

• I know that the GCF for a polynomial may be a constant, a variable, or both

• I know that if the area of a rectangle is given as a polynomial, you can factor the polynomial to find the possible side lengths of the rectangle

Common Factoring

Vocabulary

Factor: • to express a number as the product of two or more numbers

• to express an algebraic expression as the product of two or more algebraic expressions

Nov 3­5:13 PM

Factoring is the reverse process of expanding:

The expression 5(x + 7) is the factored formThe expression 5x + 35 is the expanded form

The greatest common factor (GCF) is 5

Sometimes the GCF contains a variable:

In this case the GCF is 2x

Page 2: December 02, 2015 - Weebly · Day 5 Common Factoring.notebook 1 December 02, 2015 Sep 2609:46 Learning Goals •I know that some polynomials can be factored by finding the GCF (greatest

Day 5 ­ Common Factoring.notebook

2

December 02, 2015

Nov 15­13:21

Activity

Nov 15­13:22

Page 3: December 02, 2015 - Weebly · Day 5 Common Factoring.notebook 1 December 02, 2015 Sep 2609:46 Learning Goals •I know that some polynomials can be factored by finding the GCF (greatest

Day 5 ­ Common Factoring.notebook

3

December 02, 2015

Nov 15­13:22

Nov 15­13:22

Page 4: December 02, 2015 - Weebly · Day 5 Common Factoring.notebook 1 December 02, 2015 Sep 2609:46 Learning Goals •I know that some polynomials can be factored by finding the GCF (greatest

Day 5 ­ Common Factoring.notebook

4

December 02, 2015

Nov 29­14:40

Sep 26­10:38

Questions

Page 5: December 02, 2015 - Weebly · Day 5 Common Factoring.notebook 1 December 02, 2015 Sep 2609:46 Learning Goals •I know that some polynomials can be factored by finding the GCF (greatest

Day 5 ­ Common Factoring.notebook

5

December 02, 2015

Nov 29­14:55

Solutions

Nov 29­14:56

Page 6: December 02, 2015 - Weebly · Day 5 Common Factoring.notebook 1 December 02, 2015 Sep 2609:46 Learning Goals •I know that some polynomials can be factored by finding the GCF (greatest

Day 5 ­ Common Factoring.notebook

6

December 02, 2015

Nov 29­14:56

Nov 29­14:56

Page 7: December 02, 2015 - Weebly · Day 5 Common Factoring.notebook 1 December 02, 2015 Sep 2609:46 Learning Goals •I know that some polynomials can be factored by finding the GCF (greatest

Day 5 ­ Common Factoring.notebook

7

December 02, 2015

Nov 29­14:56

Nov 29­14:56

Page 8: December 02, 2015 - Weebly · Day 5 Common Factoring.notebook 1 December 02, 2015 Sep 2609:46 Learning Goals •I know that some polynomials can be factored by finding the GCF (greatest

Day 5 ­ Common Factoring.notebook

8

December 02, 2015

Nov 29­14:56

Nov 29­14:56