       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 - (1 + I) x) (Sqrt - (1 - I) x) (Sqrt + (1 - I) x)

(Sqrt + (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:= Factor[1+x^4]
> Out= 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
>
>
>

```

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