How to use the remainder and factor theorem for polynomials

The video tutorial explains the remainder and factor theorems, focusing on how to determine if a number is a zero of a polynomial. It demonstrates the process using an example calculation with F(3) and discusses the implications of the remainder theorem. The tutorial emphasizes the relationship between factors and zeros, providing a clear understanding of these mathematical concepts.

Explain the process of using synthetic division in relation to the remainder theorem.

What does the remainder theorem tell us about a polynomial when a certain value is plugged in?

How can you determine if a number is a zero of a polynomial using the factor theorem?

What is the significance of finding a zero in a polynomial function?

Describe what happens when you plug a number into a polynomial and it does not equal zero.