There was a quiz test: Question: which is the inverse polynomial of $( X^4 + X + 1)$ ?
a) $(X^3 + X + 1)$
b) $(X^4 + X + 1)$
c) $(X^4 + X^2 + 1)$
d) $(X^4 + X^3 + 1)$
e) the correct answer is missing
and the correct answer was (d).
Could you please show me the steps how to find this inverse function?