By the end of this section, you will be able to: 1. Determine the number and type of roots for a polynomial equation; 2. Find the zeros of a polynomial.

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Presentation transcript:

By the end of this section, you will be able to: 1. Determine the number and type of roots for a polynomial equation; 2. Find the zeros of a polynomial function. Class notes from _________________ Assignment Due __________________: A# 6.81: Page 366 #1-4 all; all

Given a polynomial function, c is a zero x – c is a factor c is a root or solution of the polynomial equation If c is a real number, then (c, 0) is an intercept on the graph of f(x).

Every polynomial equation with ______________ coordinates and degree greater than _____________ has at least one ___________ in the set of _______________ numbers. Equations can have double, triple, or even quadruple roots. In general, these are referred to as ________________________________________.

Solve each equation. State the number and type of roots.

A polynomial function of _________________ has exactly _______ roots.