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 is the significance of obtaining a remainder of 0 when evaluating a polynomial at a certain value?

Describe the process of evaluating a polynomial function at a specific value to check for factors.