# How To Find Multiplicity On A Graph?

## How do you find the multiplicity?

Mathwords: Multiplicity.

How many times a particular number is a zero for a given polynomial.

For example, in the polynomial function f(x) = (x – 3)4(x – 5)(x – 8)2, the zero 3 has multiplicity 4, 5 has multiplicity 1, and 8 has multiplicity 2.

## What is the multiplicity of a graph?

The real (that is, the non-complex) zeroes of a polynomial correspond to the x-intercepts of the graph of that polynomial. A zero has a “multiplicity”, which refers to the number of times that its associated factor appears in the polynomial.

## How does multiplicity affect the graph?

The multiplicity of a root affects the shape of the graph of a polynomial. Specifically, If a root of a polynomial has odd multiplicity, the graph will cross the x-axis at the the root. If a root of a polynomial has even multiplicity, the graph will touch the x-axis at the root but will not cross the x-axis.

## How do you find the degree of a graph?

Identifying Degree of Polynomial (Using Graphs) –