How to use factor theorem to determine if a binomial is factor of polynomial

The video tutorial explains the factor theorem, which states that if a polynomial f(x) has a factor (x - c), then f(c) = 0. It highlights the relationship between zeros and factors, comparing it to the remainder theorem. An example problem is solved to demonstrate the application of the factor theorem, and the possibility of using long division as an alternative method is discussed.

Describe the process of using the zero product property in solving polynomial equations.

What is the significance of the remainder theorem in relation to polynomial division?