# How do you divide #(x^4 - 8x^3 + 4x^2 + 12x)/(x^2-2x+2)#?

##### 1 Answer

May 1, 2016

#### Explanation:

I like to just long divide the coefficients, not forgetting to include

The process is similar to long division of numbers.

The result

So:

#x^4-8x^3+4x^2+12x = (x^2-2x+2)(x^2-6x-10)+(4x+20)#

Or if you prefer:

#(x^4-8x^3+4x^2+12x)/(x^2-2x+2) = (x^2-6x-10)+(4x+20)/(x^2-2x+2)#