# Multiplicity of Zeros of Polynomial Functions

- Author:
- Jeremy Cue, Michelle Krummel

- Topic:
- Functions, Polynomial Functions

Use the blue slider to change the power of (

*x*+ 2), the red slider to change the power of (*x*- 1), and the green slider to change the power of (*x*- 3).Describe how the graph behaves at a zero when the multiplicity of that zero is an even number.

Describe how the graph behaves at a zero when the multiplicity of that zero is an odd number.

Describe how the graph behaves at a zero when the multiplicity of that zero increases. If the multiplicity of a zero was extremely large, what do you think the graph would look like at that zero?