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

#254 <code>factor$AN</code> doesn't factor $x^2-2$
  
last edited 8 years ago by test1

Submitted by : (unknown) at: 2007-11-17T22:15:50-08:00 (16 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. 





... --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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<recently read> ##


l.122 $$' => '#
               254 <code>factor$$\newpage
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(see the transcript file for additional information)
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