Real Zeros of Polynomial Functions 2-3. Descarte’s Rule of Signs Suppose that f(x) is a polynomial and the constant term is not zero ◦The number of positive.

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Presentation transcript:

Real Zeros of Polynomial Functions 2-3

Descarte’s Rule of Signs Suppose that f(x) is a polynomial and the constant term is not zero ◦The number of positive real zeros is either equal to the number of sign changes in f(x) or less than that number by a multiple of 2 ◦The number of negative real zeros is either equal to the number of sign changes in f(-x) or less than that number by a multiple of 2

Possible Zeros The total number real zeros is at most equal to the degree of the polynomial.

Example

The Rational Zero Test

Example

Homework Pg 123 #45-48, 57-60, 85, 86 (long division. THINK! )