Re: Factor[1+x^4]
- To: mathgroup at smc.vnet.net
- Subject: [mg26865] Re: Factor[1+x^4]
- From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
- Date: Fri, 26 Jan 2001 01:27:16 -0500 (EST)
- Organization: Universitaet Leipzig
- References: <94ojm5$emb@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Hi,
In[]:=Factor[1 + x^4, Extension -> {1/Sqrt[2], I/Sqrt[2]}]
Out[]=((Sqrt[2] - (1 + I)*x)*(Sqrt[2] - (1 - I)*x)*
(Sqrt[2] + (1 - I)*x)*(Sqrt[2] + (1 + I)*x))/4
BTW: Other systems ?? There are other systems, I'm puzzled.
Regards
Jens
Tom Cage wrote:
>
> I would like to factor 1+x^4. Mathematica 3 will only respond with
> In[1]:= Factor[1+x^4]
> Out[2]= 1+x^4
>
> Other systems will give the complex result
>
> 1+x^4 = (x+1/2*Sqrt(2)*I+1/2*Sqrt(2))*
> (x+1/2*Sqrt(2)*I-1/2*Sqrt(2))*
> (x-1/2*Sqrt(2)*I+1/2*Sqrt(2))*
> (x-1/2*Sqrt(2)*I-1/2*Sqrt(2))
>
> How would I factor 1+x^4 with Mathematica