How to apply descartes rule of signs to find all positive & negative zeros of a polynomial

The video tutorial explains how to determine the possible positive and negative real zeros of a polynomial function using Descartes' Rule of Signs. It involves analyzing the changes in signs of the polynomial's terms to predict the number of positive and negative real zeros. The process includes evaluating the function for both positive and negative inputs and interpreting the results based on the rule. The tutorial provides a step-by-step guide to understanding and applying this mathematical concept.

What is the first step in determining the possible positive real zeros of a polynomial?

• Evaluate the polynomial at negative values.

• Add all coefficients together.

• Drop down the signs of each term.

• Multiply all terms by a constant.

How many positive real zeros can a polynomial have if there are two sign changes?

• One or zero

• Four or two

• Three or one

• Two or zero

When evaluating for negative real zeros, what happens to a negative number raised to an even power?

• It remains negative.

• It becomes positive.

• It becomes zero.

• It doubles in value.

What is the result of a negative number raised to an odd power?

• It becomes positive.

• It remains negative.

• It becomes a fraction.

• It becomes zero.

What is the purpose of using the rule of sign changes in polynomials?

• To calculate the derivative of the polynomial.

• To determine the number of real zeros.

• To find the degree of the polynomial.

• To simplify the polynomial.