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- Jun 22, 2012

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On page 56 (see attached) ANderson and Feil show that the polynomial [TEX] f = x^2 + 2 [/TEX] is irreducible in [TEX] \mathbb{Q} [x][/TEX]

After this they challenge the reader with the following exercise:

Show that [TEX] x^4 + 2 [/TEX] is irreducible in [TEX] \mathbb{Q} [x][/TEX]. taking your lead from the discussion of [TEX] x^2 + 2 [/TEX] above. (see attached)

Can anyone help me to show this in the manner requested. Would appreciate the help.

Peter