How to use and apply Descartes Rule of signs

The video tutorial explains how to determine the number of real and complex zeros of a polynomial function using Descartes' Rule of Signs. It covers the process of identifying sign changes in the function and its negative counterpart to find possible positive and negative real zeros. The tutorial also discusses how to calculate the number of complex solutions by considering the total degree of the polynomial. Examples are provided to illustrate the application of these concepts.

Describe the process of counting sign changes and its importance in finding complex solutions.

How do you determine the total number of solutions based on positive and negative solutions?

What is the relationship between the degree of a polynomial and the number of solutions?