What is the Remainder Theorem

The video tutorial explains the remainder theorem, which states that if a polynomial f(x) is divided by a factor (x - k), the remainder is f(k). The instructor demonstrates this using synthetic division and evaluates the polynomial to show that the remainder is zero when the factor is a true divisor. The video highlights the importance of the theorem in determining factors without full division and provides multiple examples to illustrate the concept.

What new insight or understanding did you gain from this video?