Learn how to determine the number of imaginary,real positive &real negative zeros of a polynomial

The video tutorial explains how to determine the number of real and imaginary solutions in a polynomial equation. It covers the process of analyzing positive and negative real solutions, determining negative real zeros, and understanding sign changes. The tutorial also discusses the degree of a polynomial and its possible zeros, concluding with the potential outcomes for real and imaginary zeros.

What are the two types of real solutions discussed in the video?

• Negative and Imaginary

• Positive and Negative

• Positive and Imaginary

• Real and Complex

How do you determine the number of positive real zeros?

• By finding the degree of the polynomial

• By substituting positive values into the equation

• By rewriting the equation and checking for sign changes

• By counting the number of terms in the equation

What happens when you raise a negative number to an even power?

• It becomes zero

• It remains negative

• It becomes positive

• It becomes imaginary

What must you do after determining the number of sign changes?

• Add an odd number

• Subtract an even number

• Multiply by the degree of the polynomial

• Divide by the number of terms

If a polynomial has a degree of three, how many possible zeros can it have?

• Two

• Three

• One

• Four

What are the possible outcomes for zeros if there are three sign changes?

• Three positive zeros

• Two positive and one negative zero

• Three negative zeros or one negative and two imaginary

• One positive and two imaginary zeros

What does the degree of a polynomial indicate?

• The number of imaginary solutions

• The maximum number of zeros

• The maximum number of real solutions

• The number of terms in the polynomial