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UNIT 2, LESSON 1 POLYNOMIAL FUNCTIONS
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WHAT IS A POLYNOMIAL FUNCTION? Coefficients must be real numbers. Exponents must be whole numbers.
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COMPONENTS Leading Coefficient Leading Term Degree Constant Term
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COMPONENTS Leading Coefficient Leading Term Degree Constant Term
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COMPONENTS Leading Coefficient Leading Term Degree Constant Term
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COMPONENTS Leading Coefficient Leading Term Degree Constant Term
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COMPONENTS Leading Coefficient Leading Term Degree Constant Term
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SPECIAL FUNCTIONS Constant Linear Quadratic Cubic Quartic
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END BEHAVIOR
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Lead Coefficient Positive Degree = Even Lead Coefficient Negative Degree = Even
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END BEHAVIOR Lead Coefficient Positive Degree = Even Lead Coefficient Negative Degree = Even Lead Coefficient Positive Degree = Odd Lead Coefficient Negative Degree = Odd
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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
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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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