Use Descartes Rule of signs to determine the number of positive and negative real zeros

The video tutorial explains how to use the Carts Rule to determine the number of possible positive and negative real zeros in a polynomial. It describes how to identify variations in sign between terms to find positive real zeros and how to test for negative real zeros using F of negative X. The tutorial concludes by discussing the implications of these findings, including the presence of complex zeros and imaginary roots.

What does a variation in sign between terms indicate according to the Carts Rule of Signs?

• A rational zero

• An imaginary zero

• A real zero

• A complex zero

When testing for negative real zeros, what is the result of raising a negative number to an even power?

• A negative number

• Zero

• An imaginary number

• A positive number

What conclusion can be drawn if there are no variations in sign when testing for negative real zeros?

• There are only complex zeros

• There are only imaginary zeros

• There are no positive real zeros

• There are no negative real zeros

If a polynomial is of the 4th degree, how many complex zeros can it have?

• Six

• Four

• Two

• Eight

What is the maximum number of positive real zeros a polynomial can have if it has two positive real zeros?

• Six

• Zero

• Four

• Two