# How do you divide #( x^4-2x^3-2x^2+11x+12)/(2x-6)#?

##### 1 Answer

Jan 7, 2016

Long divide coefficients to find:

#(x^4-2x^3-2x^2+11x+12)/(2x-6) = 1/2x^3+1/2x^2+1/2x+7#

with remainder

#### Explanation:

I like to long divide coefficients, but first note that

We find:

#(x^4-2x^3-2x^2+11x+12)/(x-3) = x^3+x^2+x+14#

with remainder

Hence (dividing by

#(x^4-2x^3-2x^2+11x+12)/(2x-6) = 1/2x^3+1/2x^2+1/2x+7#

with remainder