Difference between revisions of "Remainder Theorem"
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<math>P(-1) = (-1)^2+2(-1)+3 = 1-2+3 = \boxed{2}</math> | <math>P(-1) = (-1)^2+2(-1)+3 = 1-2+3 = \boxed{2}</math> | ||
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Revision as of 22:04, 10 January 2012
Contents
Theorem
The Remainder Theorem states that the remainder when the polynomial 
is divided by 
(usually with synthetic division) is equal to the simplified value of 
Examples
Example 1
What is the remainder in 
?
Solution
Using synthetic or long division we obtain the quotient 
. In this case the remainder is 
. However, we could've figured that out by evaluating 
. Remember, we want the divisor in the form of . 
so 
.
This article is a stub. Help us out by expanding it.
