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#253 factor returns wrong result ←	↑	→ #255 install DoyenWiki from DoyenCD

#254 <code>factor$AN</code> doesn't factor $x^2-2$

Edit detail for #254 <code>factor$AN</code> doesn't factor $x^2-2$ revision 2 of 2

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Editor: test1 Time: 2015/06/19 15:42:51 GMT+0
Note:

added:

From test1 Fri Jun 19 15:42:51 +0000 2015
From: test1
Date: Fri, 19 Jun 2015 15:42:51 +0000
Subject: 
Message-ID: <20150619154251+0000@axiom-wiki.newsynthesis.org>

Name: '#254 'factor$AN' doesn't factor $x^2-2$' => '#254 <code>factor$AN</code> doesn't factor $x^2-2$' 
Status: open => closed

I think that this is also a bug:

fricas

factor(x^2-2::POLY AN)

$\label{eq1}{{x}^{2}}- 2$

(1)

Type: Factored(Polynomial(AlgebraicNumber?))

I'd expect $(x-\sqrt{2})(x+\sqrt{2})$ .

In fact, over algebraic numbers (and over Expression) factor if specified to factor over a subfield generated by coefficients of the polynomial. More precisely, factor only uses kernels present in the coefficients and will not introduce new roots. OTOH split will build appropriate extension.



... --test1,  Fri, 19 Jun 2015 15:42:51 +0000 reply
Name: '#254 factor$AN doesn't factor $x^2-2$' => '#254 factor$AN doesn't factor $x^2-2$' 
Status: open => closed

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