Difference between revisions of "Remainder Theorem"
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=Theorem= | =Theorem= | ||
− | The Remainder Theorem states that the remainder when the polynomial <math>P(x)</math> is divided by <math>x-a</math>(usually with synthetic division) is equal to the simplified value of <math>P(a)</math> | + | The Remainder Theorem states that the remainder when the polynomial <math>P(x)</math> is divided by <math>x-a</math> (usually with synthetic division) is equal to the simplified value of <math>P(a)</math> |
=Examples= | =Examples= |
Revision as of 18:08, 13 January 2016
Contents
[hide]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 .
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