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Get the factorization of a polynomial?

Posted 6 years ago

Hello. I have already asked for help in this forum and I thank those who replied but I still can't factor the polynomial a^2-3b^2. The "Factor" command factors it in Q but not in the set R. Is it a software problem or, more likely, something escapes me? I tried to add the "Extension-> Automatic" command but it does not recognize it and the online manual did not help me. Thanks for the help you want to give me.

8 Replies

I can't understand. Thanks anyway.

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It works for me on the Wolfram Cloud.

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POSTED BY: Gianluca Gorni

Actually, if factoring a^2-3, gives me the correct result in R but as soon as I put b ^ 2 (a^2-3b^2) it doesn't factor it in R set. It seems not to recognize the second variable.

The result I sent it gives by Wolfram Cloud. The desktop version answers "Wolfram Alpha doesn't know how to interpret your input".

Enter the Wolfram Cloud and try the code in there.

POSTED BY: Gianluca Gorni

I tried but it does not work. Returns the attached screen

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The Extension->Automatic does not work. I hope this will improve in later versions. You can give the extension manually:

Factor[a^2 - 3 b^2, Extension -> Sqrt[3]]

or have it computed by Mathematica itself:

pol = a^2 - 3 b^2;
Factor[pol,
 Extension -> Cases[Solve[pol == 0],
   _?NumericQ, All]]
POSTED BY: Gianluca Gorni

Many thanks for the reply. Unfortunately, if I want to use it in class I have to assume that students see sqrt (3)

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