Sketch the graph of a factored polynomial using multiplicity

The video tutorial explains how to find zeros and solutions of a polynomial by setting it to zero and applying the zero product property. It then covers graphing these solutions as X-intercepts and discusses the role of multiplicity in determining graph behavior. The tutorial also explains how to determine the end behavior of the graph by focusing on the leading term and its degree. Finally, it demonstrates how to connect the graph through the identified zeros and behavior patterns.

What is the zero product property and how is it applied in finding the zeros of a function?

What are the x-intercepts of the function discussed, and how do they relate to the graph?

Explain the significance of the multiplicity of zeros in the behavior of a graph.

How do you determine the end behavior of a polynomial function based on its leading term?

Describe the process of connecting the graph between the zeros.