5 1 polynomials and polynomial functions
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5.1 Polynomials and Polynomial Functions

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5.1 Polynomials and Polynomial Functions. A polynomial in one variable (say, x ) is the sum of one or more terms of the form ax n where a is a real number and n is a whole number.

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slide2
A polynomial in one variable (say, x) is the sum of one or more terms of the form axn where a is a real number and n is a whole number.
  • A polynomial in several variables (say x, y, z) is the sum of one or more terms of the form axmynzp, where a is a real number and m, n, p are whole numbers.
degree of a monomial what do you think it is
Degree of a Monomial…what do you think it is?
  • If a 0, the degree of axnis n.
  • The degree of a monomial containing several variables is the sum of the exponents on those variables.
degree of a polynomial
Degree of a Polynomial
  • The degree of a polynomial is:
  • the degree of the monomial in it w/ the largest degree
slide5
A polynomial function is defined as
    • y = f (x) = P (x)
  • Evaluating a polynomial function
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