Learn how to use Descartes rule of signs and the fundamental theorem of algebra

The video tutorial covers the process of finding polynomial zeros, including rational, irrational, and complex zeros. It introduces Descartes' Rule of Signs as a method to determine the number of real positive, real negative, and complex zeros without extensive calculations. The tutorial demonstrates the application of this rule and evaluates the function for negative zeros, concluding with a summary of the findings.

What type of zeros always come in conjugate pairs?

• Rational zeros

• Irrational zeros

• Complex zeros

• Real zeros

What does Descartes' Rule of Signs help determine?

• The coefficients of a polynomial

• The number of real and complex zeros

• The number of zeros in a polynomial

• The degree of a polynomial

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

• By using synthetic division

• By analyzing the degree of the polynomial

• By counting the sign changes in the polynomial

• By counting the number of terms

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

• It becomes negative

• It becomes positive

• It remains the same

• It becomes zero

According to the Fundamental Theorem of Algebra, what must the total number of zeros equal?

• The number of real zeros

• The degree of the polynomial

• The number of complex zeros

• The number of positive zeros

If a polynomial has three real zeros, how many complex zeros can it have?

• Zero

• One

• Two

• Three

What is the significance of using tables in understanding zeros?

• To simplify polynomial equations

• To visualize the distribution of zeros

• To calculate the degree of the polynomial

• To find the coefficients of the polynomial