Teaching CSIR NET Mock Test Series Mathematical Science Algebra Polynomial Rings and Irreducibility Criteria

Which of the following polynomial irreducible over ℚ.

1

x2 + 1 + x3 + x + x2

2

x3 + 2x2 + x + 1

3

x5 + 2x + 4

4

x2 + x + 1

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