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

The video tutorial explains how to determine the positive and negative real zeros of a polynomial using Descartes' Rule of Signs. It covers the concept of sign interchanges between monomials and how these interchanges indicate the number of real zeros. The tutorial also discusses the possibility of having zero real zeros and the implications for imaginary zeros. The process for evaluating negative real zeros is also detailed, emphasizing the importance of sign changes in determining the number of zeros.

What is the primary method used to determine the number of positive and negative real zeros in a polynomial?

• Finding the sum of coefficients

• Calculating the degree of the polynomial

• Identifying sign interchanges between monomials

• Counting the number of terms

According to Descartes' Rule of Signs, what can be said about the number of positive real zeros if there are two sign changes?

• There is one positive real zero

• There are two or zero positive real zeros

• There are no positive real zeros

• There are exactly two positive real zeros

How does Descartes' Rule of Signs determine the number of positive real zeros?

• By counting the number of terms

• By subtracting an even number from the number of sign changes

• By adding the number of sign changes

• By multiplying the number of sign changes by two

When evaluating a polynomial for negative real zeros, what is the effect of raising a negative number to an odd power?

• It becomes imaginary

• It becomes positive

• It remains negative

• It becomes zero

What is the result when a negative number is squared in the context of finding negative real zeros?

• It becomes zero

• It becomes positive

• It becomes imaginary

• It remains negative