Talk:Reciprocal polynomial

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Mathematics rating: Stub Class Low Priority  Field: Algebra

[edit] name

In texts I'm reading, p*(x), is called the "Reciprocal polynomial" of p(x), and not the ' palindromic ' or "conjugately palindromic" case. Anyone sure about the actual naming? Oyd11 01:13, 17 December 2006 (UTC)

Ok, after chking MathWorld - [1] and several online articles (and my textbook), p* - is the reciprocal, while the case p=p* I found as 'self-reciprocial' (which does make sense). Oyd11 21:16, 28 December 2006 (UTC)

[edit] Multiplicative isomorphism

I think an interesting property that should be written is that: (pq)* = p*q*

and, as a corollary, that a polynomial with integer coefficients is irreducible if and oly if its reciprocal is. --Edriv 11:54, 28 October 2007 (UTC)