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

Angelina Proctor

Angelina Proctor

Answered question

2022-04-15

Is x4+4 an irreducible polynomial?

Answer & Explanation

Kaphefsceasiaf8w9

Kaphefsceasiaf8w9

Beginner2022-04-16Added 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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