The Remainder Theorem can be used as a shortcut to find the remainder when a function is divided by a binomial. Answer the following questions in complete sentences.

Why is the Remainder Theorem used to determine whether a linear binomial is a factor of a polynomial?

How can you determine whether a linear binomial is a factor of a polynomial without using the Remainder Theorem?

Create your own division problem and show how to use the Remainder Theorem to determine whether a binomial is a factor of a polynomial function.