How to determine if a factor is a factor of a polynomial using factor theorem

The video tutorial explains how to determine if x-3 is a factor of a polynomial using the factor theorem. It begins with a basic understanding of factors, then applies this to polynomials. The factor theorem is introduced as a method to check if x-3 is a factor by plugging in values and checking for a remainder of zero. The tutorial concludes by verifying the factorization without using long or synthetic division.

Describe the process of checking if x minus 3 is a factor using synthetic division or long division.

What is the remainder theorem and how does it relate to finding factors?