Talk:Reciprocal polynomial

Article merged: See old talk-page here

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)

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)

Minimal polynomial

I'm not quite happy with the paragraph on minimal polynomial. A field of definition needs to be mentioned, and if not specified I presume the rationals. But if it means minimal polynomial of an algebraic number over the rationals, then p will automatically have real coefficients. Richard Pinch (talk) 06:27, 24 June 2008 (UTC)

Merger proposal

I believe that Palindromic polynomial should be merged into a section of this article. While working on improving that page it became clear to me that any extension would require talking about reciprocal polynomials and everything on that page is really a consequence of properties of reciprocal polynomials. There is also a high likelihood that there is a considerable amount of OR on that page which could easily be removed in a merge. This merge had been discussed on the Math Project talk page in 2012 (Sept), but nothing was done at that time (even with consensus). Bill Cherowitzo (talk) 02:25, 18 August 2015 (UTC)

Seeing no discussion for over a week, I will be bold and carry out the merge. Bill Cherowitzo (talk) 20:12, 29 August 2015 (UTC)