Question 976485
X^3-13+12/x+4.  Put all over (x+4)

{(x^4)+4x^3-13x-52+12}/(x+4)={(x^4)+4x^3-13x-40)}/(x+4)


If it were to find the roots of the function, you would set it equal to zero, multiply both sides by (x+4) to get rid of the fraction, and look for roots, starting with various factors of 40.  At this point, graphing would be helpful.

{{{graph(300,300,-10,10,-100,50,x^3-13+(12/(x+4)))}}}