# Factor Theorem

Factor theorem is the extension of remainder theorem. We call an integer to be a factor of another integer, if it divides the later one exactly or leaves the remainder 0. The same procedure hold good for an algebraic expression also.

We know that a polynomial can be divided by another polynomial whose degree is less than that of the dividend. According to the remainder theorem, when a polynomial f (x) is divided by a linear factor (x - a), then the remainder obtained after dividing f(x) by (x - a) is f (a). Let us extend this to define the factor theorem.

In this section we shall also see the proof of factor theorem and some of the interesting examples.