Define polynomials $P$ and $D$ such that $ P, D \in \mathbb{Z}[x] $, and D is monic. Prove (or disprove) that the quotient of $\frac{P(x)}{D(x)}$ is $\in \mathbb{Z}[x]$.
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2What have you tried? – Gauss Aug 28 '22 at 00:43
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Does this answer your question? Understanding divison by monic polynomial in $R[x]$ where $R$ is an arbitrary ring – morrowmh Aug 28 '22 at 01:53
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@Michael oh ok thank you – crxyz Aug 31 '22 at 14:21