5.1 Polynomials and Polynomial Functions

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# 5.1 Polynomials and Polynomial Functions - PowerPoint PPT Presentation

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

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?
• 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
• The degree of a polynomial is:
• the degree of the monomial in it w/ the largest degree
A polynomial function is defined as
• y = f (x) = P (x)
• Evaluating a polynomial function