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Remainder Theorem

Introduction

\[ f(x) = a_n x^n + a_{n-1} x^{n-1} + \cdots + a_1 x + a_0 = 0, \quad a_n \neq 0 \]

If \(f(x)\) is a polynomial in \(x\) and is divided by \(x - a\); the remainder is the value of \(f(x)\) at \(x = a\), i.e., Remainder \((R) = f(a)\).

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