Multiplicity of Zeros of 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?