Re: Is this polynomial f(x) reducible over Q ?



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?

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Timothy Murphy
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s-mail: School of Mathematics, Trinity College, Dublin 2, Ireland
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