Find All of the Zeros of a Polynomial Without Graphing

The video tutorial explains how to find all zeros of a polynomial using the Rational Zeros Theorem and synthetic division. It begins with identifying possible rational zeros, then applies synthetic division to test these zeros. The polynomial is further factored to find additional zeros, and the process concludes with solving the factored polynomial to identify all zeros. The tutorial emphasizes understanding the steps and using tools like graphing calculators to verify results.

How was the polynomial factored after finding one zero?

What are the final zeros found for the polynomial?

What is the significance of the rational zeros found in the context of the problem?