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UNIT 2, LESSON 1 POLYNOMIAL FUNCTIONS. WHAT IS A POLYNOMIAL FUNCTION? Coefficients must be real numbers. Exponents must be whole numbers.

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Presentation on theme: "UNIT 2, LESSON 1 POLYNOMIAL FUNCTIONS. WHAT IS A POLYNOMIAL FUNCTION? Coefficients must be real numbers. Exponents must be whole numbers."— Presentation transcript:

1 UNIT 2, LESSON 1 POLYNOMIAL FUNCTIONS

2 WHAT IS A POLYNOMIAL FUNCTION? Coefficients must be real numbers. Exponents must be whole numbers.

3 COMPONENTS Leading Coefficient Leading Term Degree Constant Term

4 COMPONENTS Leading Coefficient Leading Term Degree Constant Term

5 COMPONENTS Leading Coefficient Leading Term Degree Constant Term

6 COMPONENTS Leading Coefficient Leading Term Degree Constant Term

7 COMPONENTS Leading Coefficient Leading Term Degree Constant Term

8 SPECIAL FUNCTIONS Constant Linear Quadratic Cubic Quartic

9 END BEHAVIOR

10 Lead Coefficient Positive Degree = Even Lead Coefficient Negative Degree = Even

11 END BEHAVIOR Lead Coefficient Positive Degree = Even Lead Coefficient Negative Degree = Even Lead Coefficient Positive Degree = Odd Lead Coefficient Negative Degree = Odd

12 MULTIPLICITY OF ROOTS If r is a zero of a polynomial and the exponent on the term that produced the root is k then we say that r has multiplicity k. For example, the polynomial will have one zero, x=5, and its multiplicity will be 2 http://tutorial.math.lamar.edu/Classes/Alg/ZeroesOfPolynomials.aspx

13 LIST THE MULTIPLICITIES OF THE ZEROES OF EACH OF THE FOLLOWING POLYNOMIALS. 1. 2. 3. http://tutorial.math.lamar.edu/Classes/Alg/ZeroesOfPolynomials.aspx


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