Remainder and Factor Theorems
The factor theorem is mainly used for factoring polynomials and finding \(n\) roots of polynomials. In this step-by-step guide, you learn more about the factor and remainder theorems.
The Remainder Theorem
The remainder theorem says that when a polynomial p(x) is divided by x − a, the remainder is p(a). For example, dividing p(x) = x³ − 2x + 5 by x − 2 leaves a remainder of p(2) = 8 − 4 + 5 = 9. If p(a) = 0, the remainder is zero and […]