Applying Rational Zero Test Then Find All of the Zeros

The video tutorial discusses the importance of using both technology and algebraic methods to solve mathematical problems. It introduces the rational zero test to find possible rational zeros of a polynomial and demonstrates how to list these zeros. The tutorial emphasizes the need to verify results algebraically, even when technology provides solutions. It concludes with a demonstration of using synthetic division to verify zeros found through graphing.

Describe the process of synthetic division as used in the text.

What are the final zeros obtained from the problem discussed?