Question 1008562
Pure text, the function is   f(x)=(3x^4+3x^3-6x^2)/(x^2+x-2)


The triple curly braces rendering tags make it appear as you want,
{{{f(x)=(3x^4+3x^3-6x^2)/(x^2+x-2)}}}.


You will see more clearly how to solve if you factorize and look for what those results mean.  Roots?  Asymptotes?  Intervals on x?  Domain and range?


First step,
{{{(3x^2(x^2+x-2))/(x^2+x-2)}}}
and then
{{{(3x^2(x+2)(x-1))/((x+2)(x-1))}}}


This will be a PARABOLA but TWO POINTS ARE MISSING from it.
Based on {{{y=3x^2}}}.  but then multiplied by 1, twice.