Master finding all of the zeros of a polynomial rational, irrational and complex using synthetic

The video tutorial explains how to determine all types of roots of a polynomial, including rational, real, and imaginary roots. It covers the use of the rational root theorem, synthetic division, and the quadratic formula to find these roots. The tutorial also discusses the importance of identifying rational roots to simplify the process of finding other roots, including complex and irrational ones.

Explain how to use the quadratic formula to find the roots of a quadratic polynomial.

What are the possible outcomes when applying the quadratic formula?

How can you determine the number of real and complex roots of a polynomial?

Discuss the importance of identifying rational roots in polynomial equations.