How to write the polynomial function given three zeros

The video tutorial explains how to write a polynomial when given its zeros. It begins by discussing the concept of zeros and their significance on a graph. The instructor then demonstrates how to convert these zeros into factors by setting them equal to zero. The process of multiplying these factors to form a polynomial is detailed, using the FOIL method. Finally, the tutorial shows how to combine terms to finalize the polynomial expression.

What is the significance of setting the zeros equal to zero when writing a polynomial?

How do you determine the factors from the given zeros?

Describe the process of multiplying the factors to find the polynomial.

Explain the FOIL method and how it is applied in this context.

What is the final polynomial obtained from the given zeros?