Question

((x+1)(2x+1)^2)/((x^2-1)(x-3))

Answer 1

x^2-1 can be written as (x-1)(x+1). So, you get simplify from there.

Answer 2

find zeros asymptotes holes end behavior , vertical asymptote behavior

Answer 3

and multiliplicity

Answer 4

A complete analysis of the expression, ((x+1)(2x+1)^2)/((x^2-1)(x-3)), using Mathematica 8.04 Home Edition is attached.