Master finding all of the rational zeros of a polynomial without a calculator

The video tutorial explains how to find all zeros of a polynomial function without using technology. It covers the rational zero test and synthetic division as methods to identify rational zeros. The instructor demonstrates these techniques through example problems, emphasizing the importance of understanding these concepts for situations where calculators are not available.

How can you check if a found zero is correct?

What are the different types of zeros that can exist for a polynomial?

What is the relationship between the degree of a polynomial and its zeros?

Why is it not advisable to test all possible rational zeros using synthetic division?