Given a Complex Zero Use Synthetic Division to Find All of the Zeros for a Polynomial

The video tutorial explains how to find the zeros of a polynomial using synthetic division. It begins with an introduction to the concept of polynomial zeros and the importance of synthetic division. The instructor demonstrates the process of synthetic division, including handling complex numbers and their conjugates. The tutorial concludes with a summary of the steps to find all zeros, emphasizing the role of synthetic division in simplifying the process.

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

Why is it important to consider conjugates when dealing with complex zeros?

Describe the steps taken to find the remaining zeros after identifying one zero.