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Submitted by : (unknown) at: 2007-11-17T22:15:50-08:00 (10 years ago)
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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.

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

Some or all expressions may not have rendered properly, because Latex returned the following error:
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Xy-pic version 3.7 <1999/02/16> Copyright (c) 1991-1998 by Kristoffer H. Rose <krisrose@ens-lyon.fr> Xy-pic is free software: see the User's Guide for details.

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l.122 $$' => '# 254 <code>factor$$\newpage [2] [3] (./4865253229258240602-16.0px.aux) ) (see the transcript file for additional information) Output written on 4865253229258240602-16.0px.dvi (3 pages, 1040 bytes). Transcript written on 4865253229258240602-16.0px.log.




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