# How do you identify all asymptotes or holes for m(x)=(x^3-x^2+4x+15)/(x^2+2x-3)?

Nov 26, 2016

The slant asymptote is $y = x - 3$.

#### Explanation:

Long division is required to calculate the slant asymptote.

The red curve is $m \left(x\right)$ and the blue line is the slant asymptote.