This polynomial has integer coefficient – math.stackexchange.com

In another question, someone discussed about the fact that, if $p_1,\ldots,p_n$ is a list of integer, then the polynomial $$f=\prod_{e_1,\ldots,e_n\in\{\pm1\}}(x+e_1\sqrt{p_1}+\cdots+e_n\sqrt{p_n})$$ ...

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