# How do you find the slant asymptote of #(x^2+3x+2)/(x-2)#?

##### 1 Answer

Dec 27, 2015

Divide to find the quotient polynomial

#### Explanation:

Long divide or do something like this to separate out the quotient

#(x^2+3x+2)/(x-2)#

#=(x^2-2x+5x-10+12)/(x-2)#

#=((x^2-2x)+(5x-10)+12)/(x-2)#

#=(x(x-2)+5(x-2)+12)/(x-2)#

#=((x+5)(x-2)+12)/(x-2)#

#=x+5 + 12/(x-2)#

Then as

So the slant asymptote is