7.2 Distributive Law.notebook

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The Return of PolynomialsMultiply the following:

Subtract the following polynomials:

(5x2 ­ 4x + 11) ­ (­2x2 + 8x + 2)

2(4xy) 3x(3x2)

7.2 Distributive Law.notebook

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Multiplying PolynomialsWe have previously learned how to multiply and divide polynomials, but what should we do in this situation?

2(2x ­ 3)

7.2 Distributive Law.notebook

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Distributive Law

Rural Electricity by Kevin Dooleyhttp://flic.kr/p/7t5Auq

7.2 Distributive Law.notebook

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Distributive Law"Distribution" means multiplication

7.2 Distributive Law.notebook

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Distributive LawSo how would we "distribute" the 2 in this situation? 

2(2x + 3)

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January 15, 2014

Distributive LawSo how would we "distribute" the 2 in this situation? 

2(2x + 3)

This is also called expanding

7.2 Distributive Law.notebook

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Expand using the distributive law.

3(3x ­ 2)

Distributive Law

7.2 Distributive Law.notebook

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Review

a.) 2x(4xy2)

b.) 3(x ­ 1)

7.2 Distributive Law.notebook

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Expand using the distributive law.

­3x(x + 2)

7.2 Distributive Law.notebook

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Expand and simplify using the distributive law.

2(x2 ­ 5x + 2)

7.2 Distributive Law.notebook

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Expand and simplify using the distributive law. (Hint: BEDMAS)

­4(­x + 2) + 1

7.2 Distributive Law.notebook

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Model using an area model:

4x(4x ­ 8)

7.2 Distributive Law.notebook

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3(2x + 1)

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Model using algebra tiles

4x(4x ­ 8)

7.2 Distributive Law.notebook

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Expand and simplify using the distributive law.

 4 ­ 2(w ­ 3) 

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Expand and simplify using the distributive law.­2y +3(x ­ 2y) ­ 5x

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(5x2 ­ 4x + 11) ­ (­2x2 + 8x + 2)

Subtracting...Using Distributive Law

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Assignment page 268Questions 2 ­ 7, 12­13