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7.2 Distributive Law.notebook

January 15, 2014

The Return of Polynomials
Multiply the following:

2(4xy)

3x(3x2)

Subtr...
7.2 Distributive Law.notebook

January 15, 2014

Multiplying Polynomials
We have previously learned how to multiply and di...
7.2 Distributive Law.notebook

January 15, 2014

Di

st

rib

ut

iv

e 

La
w

Rural Electricity by Kevin Dooley
http://f...
7.2 Distributive Law.notebook

January 15, 2014

Distributive Law
"Distribution" means multiplication

4
7.2 Distributive Law.notebook

January 15, 2014

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

...
7.2 Distributive Law.notebook

January 15, 2014

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

...
7.2 Distributive Law.notebook

January 15, 2014

Distributive Law
Expand using the distributive law.
3(3x ­ 2)

7
7.2 Distributive Law.notebook

January 15, 2014

Review
a.) 2x(4xy2)

b.) 3(x ­ 1)

8
7.2 Distributive Law.notebook

January 15, 2014

Expand using the distributive law.
­3x(x + 2)

9
7.2 Distributive Law.notebook

January 15, 2014

Expand and simplify using the distributive law.
2(x2 ­ 5x + 2)

10
7.2 Distributive Law.notebook

January 15, 2014

Expand and simplify using the distributive law. 
(Hint: BEDMAS)
­4(­x + 2...
7.2 Distributive Law.notebook

January 15, 2014

Model using an area model:

4x(4x ­ 8)

12
7.2 Distributive Law.notebook

January 15, 2014

3(2x + 1)

13
7.2 Distributive Law.notebook

January 15, 2014

Model using algebra tiles
4x(4x ­ 8)

14
7.2 Distributive Law.notebook

January 15, 2014

Expand  and simplify using the distributive law.
 4 ­ 2(w ­ 3) 

15
7.2 Distributive Law.notebook

January 15, 2014

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

16
7.2 Distributive Law.notebook

January 15, 2014

Subtracting...
Using Distributive Law
(5x2 ­ 4x + 11) ­ (­2x2 + 8x + 2)

...
7.2 Distributive Law.notebook

January 15, 2014

18
7.2 Distributive Law.notebook

January 15, 2014

Assignment page 268
Questions 2 ­ 7, 12­13

19
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7.2 Distributive Law

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7.2 Distributive Law

  1. 1. 7.2 Distributive Law.notebook January 15, 2014 The Return of Polynomials Multiply the following: 2(4xy) 3x(3x2) Subtract the following polynomials: (5x2 ­ 4x + 11) ­ (­2x2 + 8x + 2) 1
  2. 2. 7.2 Distributive Law.notebook January 15, 2014 Multiplying Polynomials We have previously learned how to multiply and divide  polynomials, but what should we do in this situation? 2(2x ­ 3) 2
  3. 3. 7.2 Distributive Law.notebook January 15, 2014 Di st rib ut iv e  La w Rural Electricity by Kevin Dooley http://flic.kr/p/7t5Auq 3
  4. 4. 7.2 Distributive Law.notebook January 15, 2014 Distributive Law "Distribution" means multiplication 4
  5. 5. 7.2 Distributive Law.notebook January 15, 2014 Distributive Law So how would we "distribute" the 2 in this situation?  2(2x + 3) 5
  6. 6. 7.2 Distributive Law.notebook January 15, 2014 Distributive Law So how would we "distribute" the 2 in this situation?  2(2x + 3) This is also called expanding 6
  7. 7. 7.2 Distributive Law.notebook January 15, 2014 Distributive Law Expand using the distributive law. 3(3x ­ 2) 7
  8. 8. 7.2 Distributive Law.notebook January 15, 2014 Review a.) 2x(4xy2) b.) 3(x ­ 1) 8
  9. 9. 7.2 Distributive Law.notebook January 15, 2014 Expand using the distributive law. ­3x(x + 2) 9
  10. 10. 7.2 Distributive Law.notebook January 15, 2014 Expand and simplify using the distributive law. 2(x2 ­ 5x + 2) 10
  11. 11. 7.2 Distributive Law.notebook January 15, 2014 Expand and simplify using the distributive law.  (Hint: BEDMAS) ­4(­x + 2) + 1 11
  12. 12. 7.2 Distributive Law.notebook January 15, 2014 Model using an area model: 4x(4x ­ 8) 12
  13. 13. 7.2 Distributive Law.notebook January 15, 2014 3(2x + 1) 13
  14. 14. 7.2 Distributive Law.notebook January 15, 2014 Model using algebra tiles 4x(4x ­ 8) 14
  15. 15. 7.2 Distributive Law.notebook January 15, 2014 Expand  and simplify using the distributive law.  4 ­ 2(w ­ 3)  15
  16. 16. 7.2 Distributive Law.notebook January 15, 2014 Expand  and simplify using the distributive law. ­2y +3(x ­ 2y) ­ 5x 16
  17. 17. 7.2 Distributive Law.notebook January 15, 2014 Subtracting... Using Distributive Law (5x2 ­ 4x + 11) ­ (­2x2 + 8x + 2) 17
  18. 18. 7.2 Distributive Law.notebook January 15, 2014 18
  19. 19. 7.2 Distributive Law.notebook January 15, 2014 Assignment page 268 Questions 2 ­ 7, 12­13 19

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