Using descartes rule of signs to find the number of positive and negative real zeros

The video tutorial explains how to determine the number of positive and negative real zeros in a polynomial using the rational zero test and Descartes' Rule of Signs. It covers the process of identifying sign changes in the polynomial's terms to find possible real zeros. The tutorial also emphasizes the importance of evaluating the polynomial for negative values of X to determine negative real zeros.

What does the rational zero test help determine?

• The sum of the coefficients

• The degree of the polynomial

• The possible number of rational zeros

• The exact number of real zeros

How do you determine the number of positive real zeros in a polynomial?

• By counting the number of terms

• By evaluating the polynomial at zero

• By analyzing the sign changes in the polynomial

• By finding the derivative of the polynomial

According to Descartes' rule of signs, what does two sign changes indicate?

• Two complex zeros

• Two positive real zeros or none

• Two negative real zeros or none

• Two rational zeros

What must be done to determine the number of negative real zeros?

• Evaluate the polynomial at positive values

• Count the number of terms

• Evaluate the polynomial at negative values

• Find the derivative of the polynomial

What happens when a negative number is raised to an even power?

• It becomes undefined

• It becomes positive

• It becomes zero

• It remains negative

Why can't you have a negative number of zeros?

• Because zeros are rational

• Because zeros are imaginary

• Because zeros are a countable quantity

• Because zeros are always positive

What is crucial to remember when evaluating negative real zeros?

• The constant term

• The leading coefficient

• The order of operations

• The degree of the polynomial