Re: Factor[1+x^4]
- To: mathgroup at smc.vnet.net
- Subject: [mg26862] Re: [mg26855] Factor[1+x^4]
- From: "Carl K. Woll" <carlw at u.washington.edu>
- Date: Fri, 26 Jan 2001 01:27:14 -0500 (EST)
- References: <200101250613.BAA14708@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Tom,
In Mathematica 4 you can do
Factor[1+x^4, Extension->{2^(1/2),I}]
((Sqrt[2] - (1 + I) x) (Sqrt[2] - (1 - I) x) (Sqrt[2] + (1 - I) x)
(Sqrt[2] + (1 + I) x)) / 4
I don't have 3.0 anymore to compare.
Carl Woll
Physics Dept
U of Washington
----- Original Message -----
From: "Tom Cage" <k5gj at earthlink.net>
To: mathgroup at smc.vnet.net
Subject: [mg26862] [mg26855] Factor[1+x^4]
> 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
>
>
>
- References:
- Factor[1+x^4]
- From: "Tom Cage" <k5gj@earthlink.net>
- Factor[1+x^4]