Word Count : 262

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Let $F$ be a field and consider the polynomial ring $F[x]$. The set $U(F[x])$ denotes the group of units in $F[x]$, that is, the set of all polynomials in $F[x]$ which have multiplicative inverses within $F[x]$. Suppose $f(x) \in F[x]$ is a unit. Then there exists $g(x) \in F[x]$ such that $$ ________ ___ ____ ________ ______.
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