How to sketch the graph a polynomial using factors and multiplicity

The video tutorial covers the concept of multiplicity, focusing on its definition and challenges in understanding. It explains how to find zeros and plot X intercepts using the zero product property. The tutorial also discusses multiplicity in quadratic equations, highlighting the differences in graph behavior based on multiplicity. Finally, it addresses end behavior and graphing techniques, emphasizing the importance of the degree and leading coefficient in determining graph direction.

What is the definition of multiplicity as discussed in the text?

How do you determine the multiplicity of a zero?

Explain the difference between an X intercept where the graph crosses and where it bounces.

What is the significance of the degree and leading coefficient in determining the end behavior of a graph?

What happens to the graph when the multiplicity is even and the leading coefficient is positive?