Applying the remainder theorem to identify the remainder of a polynomial divided

The video tutorial explains the remainder theorem and its application in finding the remainder of a polynomial division. It highlights the equivalence of the remainder obtained through synthetic division and evaluating the polynomial at its zero. The tutorial provides a step-by-step example of using the remainder theorem and verifies the result using synthetic division. Additionally, it discusses the relationship between factors and zeros, emphasizing how to determine zeros from factors.

What does the remainder theorem state about the remainder from synthetic division?

How do you evaluate a function to find the remainder using the remainder theorem?

What happens to a negative number raised to an odd power compared to an even power?

Explain how to check the answer obtained from the remainder theorem using synthetic division.

What is the significance of the zero in relation to the factor in the context of the remainder theorem?