# How do I use the remainder theorem to divide #2x^2-5x-1# by #x-3#?

##### 1 Answer

The remainder theorem results in the output value of the given polynomial after evaluating it at a specific value of

First you solve the divisor by setting it equal to zero.

This

The coefficients of

We begin by multiplying the value of

This product is then added to the next coefficient. The result of the previous operation is then multiplied by

The numbers in parentheses are are the coefficients.

By using the remainder theorem we see that

Please see the video below for another example.