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## Multiplicity of zeros of polynomials (video)

The multiplicity of the roots of a polynomial f (x) can be determined in many ways. The basic method is to factorize the polynomial and count how many times each of the roots appears. It

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## Polynomial Graphs

Polynomials have the property that if r is a zero of the polynomial p (x), then p (x) is divisible by x−r. The multiplicity of a zero is how many times you can divide out x−r from the

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## How to Find Zeros & Their Multiplicities Given a Polynomial

In general, if a function has a zero of odd multiplicity, the graph of will cross the -axis at that value. If a function has a zero of even multiplicity, the graph of will touch the -axis at that point.

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## 3.4: Graphs of Polynomial Functions

How To: Given a graph of a polynomial function of degree n n, identify the zeros and their multiplicities. If the graph crosses the x -axis and appears almost linear at the intercept, it is a
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## Zeros and Multiplicity

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