# 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 19:08, 13 January 2016

## 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 .

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