What is the factor Theorem

The video tutorial explains the remainder and factor theorems, starting with an introduction to factors using the number 12. It discusses how factors multiply to give a number and how they evenly divide into it. The concept of divisibility is illustrated using the number 13. The remainder theorem is then explained, showing how it helps determine if a polynomial has a factor by checking if the remainder is zero when divided. The tutorial concludes with methods to prove factors using synthetic or long division.

Describe the process of using synthetic or long division to determine if a polynomial has a factor.

How can you prove that a polynomial has a factor using the remainder theorem?