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 transcript:

UNIT 2, LESSON 1 POLYNOMIAL FUNCTIONS

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

COMPONENTS Leading Coefficient Leading Term Degree Constant Term

COMPONENTS Leading Coefficient Leading Term Degree Constant Term

COMPONENTS Leading Coefficient Leading Term Degree Constant Term

COMPONENTS Leading Coefficient Leading Term Degree Constant Term

COMPONENTS Leading Coefficient Leading Term Degree Constant Term

SPECIAL FUNCTIONS Constant Linear Quadratic Cubic Quartic

END BEHAVIOR

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

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

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

LIST THE MULTIPLICITIES OF THE ZEROES OF EACH OF THE FOLLOWING POLYNOMIALS