Question 1037235
Try to create a simple example for question d.  Degree two, plus simple rational function of degree one.  Combine them into a single rational expression.


This would have degree three numerator but degree one denominator.
{{{-x^2+2x-3+2/(x+1)}}}, some original function to have oblique asymptote shaped like a parabola (degree two).


Skipping the algebra steps, this would be  
{{{highlight((-x^3+x^2-x-1)/(x+1))}}}
What happens if you were to perform this as a DIVISION?  You'd obviously get back the expression began with, the remainder being {{{2/(x+1)}}} which approaches 0 for x to either extreme, and only the concave downward parabola expression persists.


That is just one possible example.