Re: Is this polynomial f(x) reducible over Q ?
- From: Timothy Murphy <tim@xxxxxxxxxxxxxxxxxxxxxx>
- Date: Sat, 10 Sep 2005 15:52:12 +0100
Baek.Sanghoon@xxxxxxxxx wrote:
> Hello I have question about this problem..
>
> Prove that f(x) is reducible over Q if x_2= A* x_1 for some A in Q
> where deg(f)=n and x_1,x_2, ...,x_n are root of f in C
>
> note : C is complex and Q is the set of rational number..
What about f(x) = x^2 - 2?
--
Timothy Murphy
e-mail (<80k only): tim /at/ birdsnest.maths.tcd.ie
tel: +353-86-2336090, +353-1-2842366
s-mail: School of Mathematics, Trinity College, Dublin 2, Ireland
.
- Follow-Ups:
- Re: Is this polynomial f(x) reducible over Q ?
- From: quasi
- Re: Is this polynomial f(x) reducible over Q ?
- References:
- Is this polynomial f(x) reducible over Q ?
- From: Baek . Sanghoon
- Is this polynomial f(x) reducible over Q ?
- Prev by Date: Re: elementary proof of extreme value theorem
- Next by Date: Re: Complex irred. Representations of T^k
- Previous by thread: Re: Is this polynomial f(x) reducible over Q ?
- Next by thread: Re: Is this polynomial f(x) reducible over Q ?
- Index(es):
Relevant Pages
|