Division of polynomials in a field

39 Views Asked by At

If we had $f(x)=x^4+1$ and $g(x)=4x+1$ in $\Bbb Z_5$, I am curious how to divide $\dfrac{f(x)}{g(x)}$ since the leading coefficient is not $1$. Would we have to multiply $g(x)$ by $4$'s inverse? Thanks!