Remainder Theorem
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 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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