How would we factor $6+x$ over $\mathbb{Z}[[x]]$, the ring of formal power series with integer coefficients? Proving things are prime is easy, but factoring a nonprime is difficult. Thanks in advance.
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1Have you tried undetermined coefficients? Of course, the answers are very non-unique. – Ted Shifrin Jun 29 '14 at 16:06
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1Bill Dubuque gave a nice example once in a related problem of factoring in $\Bbb{Z}[[x]]$. Gimme a minute. Here! – Jyrki Lahtonen Jun 29 '14 at 16:33
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Yes, it factors as a special case of the Catalan factorization that I described there, so it is a duplicate of that question. – Bill Dubuque Jun 29 '14 at 17:36