Question

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

Answer 1

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

Explanation:

Long division is required to calculate the slant asymptote.

The red curve is `m(x)` and the blue line is the slant asymptote.