Remainder Theorem

The remainder of the division of a polynomial P(x) and a polynomial of the form x − a is the numerical value of this polynomial for the value: x = a.

Example

Calculate the remainder of the division P(x) : Q(x)

P(x)= x4 − 3x2 + 2         Q(x) = x − 3

Remainder Theorem Operations

P(3) = 34 − 3 · 32 + 2 = 81 − 27 + 2 = 56