Master how to find the zeros of a polynomial and determine multiplicity, zero product property

The video tutorial explains how to determine the zeros and multiplicity of a polynomial. It begins with an introduction to the concepts and then demonstrates the application of the zero product property through various examples. The tutorial covers both basic and advanced examples, highlighting the differences between odd and even multiplicities and their effects on the graph of a polynomial. The video concludes with a final example and a summary of the key points discussed.

What are the steps to solve for the zeros of a polynomial set equal to zero?

In the polynomial F(X) = (X - 7)^4, what are the zeros and their multiplicities?

How do you handle a polynomial with a square root when finding zeros?

What is the significance of rewriting a polynomial in factored form when determining zeros?