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 of Signs help us determine in a polynomial function?

• The possible number of positive and negative real zeros

• The number of terms in the polynomial

• The sum of the coefficients

• The degree of the polynomial

How do you determine the number of positive real zeros in a polynomial using Descartes' Rule of Signs?

• By calculating the sum of the coefficients

• By analyzing the degree of the polynomial

• By counting the number of terms

• By observing the variations in the signs of the coefficients

If a polynomial has two positive real zeros, how many negative real zeros can it have?

• Three

• None

• One

• Two

What is the first step in finding negative real zeros using Descartes' Rule of Signs?

• Substitute negative values into the polynomial

• Calculate the degree of the polynomial

• Substitute positive values into the polynomial

• Count the number of terms

What indicates the presence of negative real zeros in a polynomial?

• The variations in signs after substituting negative values

• The degree of the polynomial

• The sum of the coefficients

• The number of terms