Remainder Theorem Calculator

Find the remainder when P(x) is divided by x - c

Remainder Theorem Formula

The remainder theorem says that polynomial division by a linear expression can be checked with a single substitution. Instead of performing full long division, replace x with c and evaluate P(c). The result is exactly the remainder after dividing by x-c. This shortcut is especially useful when testing possible factors, checking synthetic division work, or solving polynomial problems quickly.

Why It Works

The remainder theorem turns a polynomial division question into a substitution question. Instead of dividing P(x) by x-c, evaluate P(c) to get the exact remainder.

Applications

Frequently Asked Questions