Talk:Irreducible polynomial
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Shouldn't 
be 
? —Preceding unsigned comment added by 129.97.236.159 (talk • contribs) December 15, 2005
- Yes it should be. It's of the form
—Preceding unsigned comment added by 83.194.35.3 (talk • contribs) December 20, 2005
In the Simple example section p_5 = x^2 + 1 is defined. Later p_3 = x^2 + 1 is mentioned. This polynom is the polynom p_5. Shouldn't it be renamed in p_5? —The preceding unsigned comment was added by 195.126.109.107 (talk • contribs) .
- You're right, I've corrected it. Thanks for pointing that out. Next time you see something like that don't be afraid to be bold and correct it. toad (t) 16:46, 30 January 2006 (UTC)
- Currently the article says "Over the ring
of integers, the first two polynomials are reducible, but the last two are irreducible (the third does not have integer coefficients)". Shouldn't it say "the last three are irreducible"? I have changed the page; correct me if I'm wrong. --Culix 01:41, 18 April 2007 (UTC)
What?? Of course not. You shouldn't even be talking about the third one in the context of integer polynomials. Reverted. In fact, as written, the article doesn't even define irreducibility over integers, but then gives an example of it. ugh.
[edit] Methods for proving irreducibility
Does anyone else think that this page could use some examples of the different methods for reducing polynomials, or showing that polynomials are irreducible? The page on finding roots presumedly talks about such things, but none of the methods mentioned there are familiar to me. If I were to add some information on, say, how to find roots in polynomials and Eisenstein's_criterion, should they be added here or to the Root-finding_algorithm page? --Culix 03:27, 18 April 2007 (UTC)
- I would say that an overview of methods of proving irreducibility belongs in this article, since root-finding_algorithm is about numerical methods for locating roots. Be careful, however, not to duplicate too many details that are already in the articles on specific methods - there is a list in the "See also" section, to which I have added rational root theorem. Gandalf61 09:40, 18 April 2007 (UTC)
