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Let f,gāF[x]f,g\in\mathbb{F}[x]f,gāF[x] be polynomials. We say fff and ggg are associates if fg\frac{f}{g}gfā is a unit, i.e.Ā degā”fg=0\deg \frac{f}{g}=0deggfā=0 fg\frac{f}{g}gfā is a nonzero constant polynomial.
Unique Factorization Theorem for Polynomials