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5.1 Polynomials and Polynomial Functions

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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5.1 Polynomials and Polynomial Functions

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  1. 5.1 Polynomials and Polynomial Functions

  2. 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.

  3. 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.

  4. Degree of a Polynomial • The degree of a polynomial is: • the degree of the monomial in it w/ the largest degree

  5. A polynomial function is defined as • y = f (x) = P (x) • Evaluating a polynomial function

  6. Recall certain polynomial graphs & shifts

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