Learning to Find All of the Zeros of a Polynomial

The video tutorial covers the process of determining rational and real zeros using synthetic division and the remainder theorem. It explains the importance of these methods in finding factors and zeros of polynomials. The tutorial compares the effectiveness of synthetic division and the remainder theorem, highlighting the benefits of each approach. It concludes with a summary of the key findings and methods discussed.

What is the rational zero test and how is it applied?

Explain the process of using synthetic division to find zeros.

How do you determine if a number is a rational zero using synthetic division?

What is the significance of the remainder theorem in determining zeros?

What are the advantages of using synthetic division over plugging in values directly?

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

What factors should be considered when determining if a polynomial is factorable?