Using long division, you can calculate that $$f(x) = \frac{2 x^3 - 6 x^2 + 7 x - 10 }{2x^2+5} = Q(x) + \frac{R(x)}{2x^2 + 5}.$$ The quotient $Q(x)$ is .
The remainder $R(x)$ is .
From this you can conclude that $y=f(x)$ has an oblique (or slant) asymptote given by the line with equation y = ? Q(x) R(x) because $\displaystyle \lim_{x \to \pm \infty} \frac{R(x)}{2x^2 + 5} =$ .