Answer
Answer may vary.
$R(x)= \frac{2x^2-x}{x-1}$
Work Step by Step
Answer may vary.
The oblique asymptote should be the quotient of the division, thus $R(x)=\frac{p(x)}{q(x)}=2x+1+\frac{r(x)}{q(x)}$. For example, let $q(x)=x-1$ and $r(x)=1$, we have $R(x)=2x+1+\frac{1}{x-1}=\frac{2x^2-x}{x-1}$