Learn to find the possible real positive & negative zeros from descartes rule of signs

The video tutorial explains how to find rational zeros of a polynomial using Descartes' Rule of Signs. It covers the process of determining the number of possible real positive and negative zeros by analyzing sign changes in the polynomial's terms. The tutorial also discusses the implications of subtracting even numbers from the count of sign changes to determine the possible number of zeros.

What does Descartes' Rule of Signs help determine in a polynomial?

• The product of the roots

• The sum of the coefficients

• The number of real positive and negative zeros

• The degree of the polynomial

How do you apply Descartes' Rule of Signs to find negative zeros?

• By analyzing the polynomial's degree

• By counting the number of terms

• By substituting positive values into the polynomial

• By substituting negative values into the polynomial

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

• It becomes positive

• It becomes zero

• It becomes undefined

• It remains negative

Why can't you have a negative number of zeros according to Descartes' Rule?

• Because zeros are always positive

• Because the polynomial degree limits the zeros

• Because zeros represent X-intercepts, which cannot be negative in quantity

• Because the rule only applies to positive numbers

What should you do if subtracting an even number from the number of sign changes results in a negative count?

• Multiply by a positive number

• Add an odd number instead

• Ignore the result and use the original count

• Keep subtracting until you reach zero or a positive number