Use Descartes Rule of signs to determine the number of positive and negative

The video tutorial explains Descartes' Rule of Signs, which helps determine the possible number of positive and negative real zeros of a polynomial. The instructor demonstrates how to analyze sign variations in coefficients to find positive zeros and uses an example to show the process for negative zeros. The tutorial concludes with a summary of the rule's application.

What does Descartes' rule help us determine regarding the zeros of a polynomial?

How many positive real zeros can a polynomial of degree two have according to the text?

What is the significance of the variations of signs in the coefficients of a polynomial?

Explain the process of finding negative real zeros as described in the text.

According to the text, what conclusion can be drawn if a polynomial has two positive zeros?