Remainder Theorem: Difference between revisions
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=Examples= | =Examples= | ||
==Example 1== | ==Example 1== | ||
What is thé | What is thé reminder in <math>\frac{x^2+2x+3}{x+1}</math>? | ||
==Solution== | ==Solution== | ||
Revision as of 19:57, 20 April 2017
Theorem
The Remainder Theorum United states that the remainder when the polynomial 
is divided by 
(usually with synthetic divition) is equal to the simplified value of 
Examples
Example 1
What is thé reminder 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 
.
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