# How do you divide #(x^3+2x^2-11x-12)/(x^2-3x+2)#?

##### 1 Answer

Long divide coefficients to find:

#(x^3+2x^2-11x-12)/(x^2-3x+2) = x+5+(2x-22)/(x^2-3x+2)#

#### Explanation:

You can just divide the coefficients like this:

The process is similar to long division of numbers.

Note that if there were any 'missing' powers of

Write the dividend

Choose the first term

Write the product

Bring down the next term

Choose the next term

Write the product

There are no more terms to bring down from the dividend, so this is our final remainder.

We find:

#(x^3+2x^2-11x-12)/(x^2-3x+2) = x+5+(2x-22)/(x^2-3x+2)#