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This tag is used if a reference is needed in a paper or textbook on a specific result.

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Given $P\in \mathbb{Z}[x]$ there is a nonzero $Q\in \mathbb{Z}[x]$ such that $H(PQ)\leq M(P)$

I am looking for a proof (or references) for the following result: If $P\in \mathbb{Z}[x]$ then there exists a nonzero polynomial $Q\in \mathbb{Z}[x]$ such that $$H(PQ)\leq M(P)$$ where $H(R)=\max\{| …
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