The Remainder Theorem is the generalized form of The Factor Theorem.
When a polynomial expressionis divided by a linear factorthe remainder isIfthenis a factor of
Example: Show thatis a factor of
thereforeis a factor.
If the remainder whenis divided byis 3 and the remainder whenis divided byis 4, findand
Remainder ofon division byis
Remainder when p(x) is divided byis
We solve the simultaneous equations
(1)+2*(2) givesthen from (2)