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Algebra Difficulty 6.1 National olympiad Prove it

Theorem 3 Polynomial
(x−a1)4(x−a2)4⋯(x−an)4+1\left(x-a_{1}\right)^{4}\left(x-a_{2}\right)^{4} \cdots\left(x-a_{n}\right)^{4}+1

is irreducible.

Solution

None

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None

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Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.