Using critical values and endpoints to determine the extrema of a polynomial

The video tutorial explains how to find critical numbers by differentiating a function and setting the derivative equal to zero. It then discusses testing endpoints and critical numbers to find extrema. The instructor evaluates the function at various points to determine the absolute maximum and minimum values, presenting them as coordinate points.

Explain the Zero Product Property as applied in this context.

What are the absolute maximum and minimum values found in the analysis?