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February 2nd, 2011
10:34 pm

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FLMPotD
Show that x^4-16x^2+4 is reducible mod p for every prime p.

(Stolen from a comment by secret_panda on a post on somthng2remembr's facebook. Yay stalking!)

(PS: Actually, my argument should work for anything of the form x^4+bx^2+c^2 for b and c integers and p odd.)

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From:secret_panda
Date:February 3rd, 2011 11:08 am (UTC)
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(I think it has to be c^4+2bx^2+c^2? Using the proof with Galois Theory that I'm not allowed to use. Rawr.)
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