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Polynomial Functions and Models

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Presentation on theme: "Polynomial Functions and Models"— Presentation transcript:

1 Polynomial Functions and Models
Dr. Fowler  AFM  Unit 3-1 Polynomial Functions and Models

2 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

3 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

4 Summary of the Properties of the Graphs of Polynomial Functions
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

5 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

6 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

7 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

8 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

9 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

10 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

11 WATCH VIDEO – Identifying the Real Zeros in a Polynomial Function

12 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

13 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

14 Find a polynomial of degree 3 whose zeros are -4, -2, and 3.
If you “plug in” -4, -2, or 3 for X in the above parenthesis you get ZERO. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

15 For the polynomial, list all zeros and their multiplicities.
2 is a zero of multiplicity 1 because the exponent on the factor x – 2 is 1. –1 is a zero of multiplicity 3 because the exponent on the factor x + 1 is 3. 3 is a zero of multiplicity 4 because the exponent on the factor x – 3 is 4. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

16 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

17 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

18 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

19 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

20 y = 4(x - 2) Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

21 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

22 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

23 Excellent Job !!! Well Done


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