What is the algorithm to factor something like $2+\frac{1}{x}+x?$

Question

I came across this in homework but I'm interested in the general example, say $ax+bx^{-1}+c.$

Answer 1

In fact if you write it like $\frac 1 x ( x ^ 2 + 2 x + 1 )$, the problem is just factoring a polynomial.