The remainder theorem is a principle in algebra and number theory. This theorem says that when dividing a polynomial P(x) by (x – a), the remainder is equal to f(a).
In mathematical terms:
If P(x) = (x – a) ∙ Q(x) + r
where Q(x) is the quotient and r is the remainder, then r = f(a). This theorem is fundamental in polynomial algebra and is applied in various areas of mathematics and computer science.