The factor theorem states that if is a polynomial of degree and , then is a factor of the polynomial .
Rational Root Theorem
The rational root theorem states that for a polynomial, , where are integers, the rational roots can be determined from the factors of and . More specifically, if is a factor of and is a factor of , then all the rational factors will have the form .
The remainder theorem states that if , then is the remainder when dividing by .
This lesson shows you how to find all the rational and real-number solutions of a polynomial.