The problem says sketch the graph of y=f(x)= x^3-25x / x^2-x-6

Find the x and y intercepts:

I got x-int= (0,0)(-5,0)(5,0)

y-int.=(0,0)

Find the horizontal asymptote if it exists. If not, find any oblique asymptotes that may exist.

I got x+1

Find the vertical asymptotes.

I got x=3 x=-2

Tell me if anything is wrong. Thanks