Remainder Theorem

 

The Remainder theorem lets you know what the remainder is when one function is divided by another. To find the remainder when a function is divided by  :

 

·          first assume that  and rearrange for , ie .

·          Find .

·          The remainder will be the value this works out to be.

 

Eg. What is the remainder when  is divided by ?

 

          Let

          Find

                   

          therefore the remainder of  is 2.

 

An extension of the Remainder Theorem is the Factor Theorem.

 

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