Is \(\displaystyle{x}^{{4}}+{4}\) an irreducible polynomial?

Angelina Proctor 2022-04-15 Answered
Is x4+4 an irreducible polynomial?
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Answers (1)

Kaphefsceasiaf8w9
Answered 2022-04-16 Author has 9 answers
x4+4=(x2+2i)(x22i)
=(x(1i))(x+(1i))(x(1+i))(x+(1+i))
=((x1)+i)((x1)i)((x+1)i)((x+1)+i)
=((x1)2+1)((x+1)2+1)
Reducible.
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