# Remainder Theorem

## Introduction

Recall that the value of *x* which satisfies the **polynomial equation** of degree *n* in the variable *x* in the form

where *n* is a positive integer and *a _{0}, a_{1},..., a_{n}, * are constants, is called a

**root or solution or a zero**of the polynomial. This happens when the remainder is 0 which means that the divisor is a factor of the dividend. However, there are times that the divisor does not divide the dividend exactly and there is a remaining polynomial less than the degree of the divisor which we call the

**remainder**.

To find the remainder when an expression is divided by a given linear expression we use the **Remainder Theorem**. It states that:

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