       Re: factoring quartic over radicals

• To: mathgroup at smc.vnet.net
• Subject: [mg37064] Re: factoring quartic over radicals
• From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
• Date: Mon, 7 Oct 2002 05:26:31 -0400 (EDT)
• Organization: Universitaet Leipzig
• References: <anp0bs\$qu0\$1@smc.vnet.net>
• Reply-to: kuska at informatik.uni-leipzig.de
• Sender: owner-wri-mathgroup at wolfram.com

```Hi,

In[]:=Factor[x^4 + x^3 + x^2 + x + 1, Extension -> {GoldenRatio,
1/GoldenRatio}]
Out[]=-((-3 - 2*x + Sqrt*x + GoldenRatio*x - 3*x^2)*
(3 + x + Sqrt*x + GoldenRatio*x + 3*x^2))/9

Regards
Jens

Steve Earth wrote:
>
> Greetings MathGroup,
>
> My name is Steve Earth, and I am a new subscriber to this list and also a
> new user of Mathematica; so please forgive this rather simple question...
>
> I would like to enter the quartic x^4 + x^3 + x^2 + x + 1 into Mathematica
> and have it be able to tell me that it factors into
>
> (x^2 + GoldenRatio x + 1) ( x^2 - 1/GoldenRatio x + 1)
>
> What instructions do I need to execute to achieve this output?
>
> -Steve Earth
> Harker School
> http://www.harker.org/

```

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