BY Team Aakash Byju's

Explained With Examples

Polynomial Remainder Theorem:

The polynomial remainder theorem is a polynomial division approach to the Euclidean theorem. 

 Euclidean Theorem

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In this polynomial theorem, we divide a polynomial P(x) by a factor ( x – a), which may or may not be a polynomial element.

A smaller polynomial and a remainder can be found.

– Then the remainder     that has been obtained   is a value of P(x) at    x = a, specifically P(a). – So basically, x - a is the   divisor of P(x) if and   only if P(a) = 0.

Example