Reducible Function

Definition

A Polynomial Function $f\in \mathbb{F}[x]$ is reducible over $\mathbb{F}$ if two polynomial $g,h\in \mathbb{F}[x]$ exist such that:

1. $deg(h)\ge 1,deg(h)\ge 1$
2. $f=gh$ Otherwise, $f$ is Prime Function over $\mathbb{F}$