How do we find multiplicity and use it to graph a polynomial

The video tutorial explains how to find zeros of functions and determine their multiplicity. It covers factoring techniques for solving quadratic equations and discusses how multiplicity affects the graph of a function, particularly at the X intercepts. The tutorial also includes graphing quadratic functions, understanding end behavior, and advanced factoring techniques for higher degree polynomials. It emphasizes the importance of analyzing graphs using multiplicity and linear factors.

What are the zeros of a function and how are they determined?

How do you determine if a graph touches or crosses the x-axis at a zero?

Explain the concept of multiplicity in relation to the zeros of a function.

Describe the process of factoring a quadratic function to find its zeros.

What is the Zero Product Property and how is it applied in solving equations?

What does it mean if a zero has an odd multiplicity versus an even multiplicity?

How can you graph a function based on its zeros and their multiplicities?