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Computational Number Theory is for explicit calculations or algorithms involving anything of interest to number theorists.
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Does any cubic polynomial become reducible through composition with some quadratic?
You should refer to Lemma 10 (page-233) in this paper by Schinzel where he proves that for any polynomial $F(x)$ of degree $d$ we have a polynomial $G(x)$ of degree $d-1$ such that their compositio …