Remainder Theorem

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)


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