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Polynomial Functions and Models
Dr. Fowler AFM Unit 3-1 Polynomial Functions and Models
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Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
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Summary of the Properties of the Graphs of Polynomial Functions
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Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
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Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
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Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
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WATCH VIDEO – Identifying the Real Zeros in a Polynomial Function
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Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
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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.
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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.
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y = 4(x - 2) Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
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Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
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Excellent Job !!! Well Done
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