I am trying to figure out if the polynomial [(x^4)+1] is reducible over Z5 and also over Z.(adsbygoogle = window.adsbygoogle || []).push({});

For Z5, i tried:

f(0) = 1

F(1) = 2 = f(2) = f(3) = f(4)

Since neither are zero, i tried

f(x) = (ax^2 + bx + c)(dx^2 + ex + f)

I compared the coefficients but am unable to solve it.

For Z, i have no idea how to do it.

Please help! Thanks.

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# Irreducible Polynomial over Z

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