Applying descartes rule of signs to determine the number or real positive & negative zeros

The video tutorial explains Descartes' Rule of Signs, which helps determine the number of positive, negative, and imaginary zeros in a polynomial equation. The instructor demonstrates how to evaluate the function for negative X and identify sign changes to find real zeros. The tutorial concludes with a summary of possible solutions based on the degree of the polynomial.

What does the rule of signs help us determine about the real number system?

Explain how to find the number of positive real zeros in a polynomial.

What happens when you raise a negative variable to an odd power?

Describe the process of determining the number of sign changes in a polynomial.

How do you interpret the results of sign changes in relation to real zeros?

What conclusions can be drawn if a polynomial has two positive real zeros and one negative real zero?

If a polynomial has zero positive real zeros and one negative real zero, what can be inferred about the remaining zeros?