modulo p test of Irreducibility of polynomial

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[@ranaranjanmeitei9193]

Thank u sir.

[@csirnet_gate_set_mathematics]

Welcome

[@uvaish576]

f(x)=x⁴+x²+1 is reducible Over Z
But If we apply modulo p test
at P=2 then f(x) is irreducible over Z2
How? Please explain 🙏

[@DeepakGupta-sw9id]

This is applicable only for 2,3 degree polynomial ?

[@pinkichahar5025]

No mod p test is applicable for every degree