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Seema posted an Question
April 02, 2020 • 21:43 pm 50 points
  • CSIR NET
  • Mathematical Sciences

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39. Let fx) = x3+2x2+ 1 and gt) = 2x2 +x +2. Then over(3) (A) fr) and gr) are irreducible (B) flr) is irreducible, but g) is not (C) g(x) is irreducible, but flu) is not (D) Neither fr) nor g(x) is irreducible

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    Asif javed best-answer

    B Because f(x) is not equal to zero for any element x in Z3. And g(x)=0 for x=2 . Reason If h(x)=0 for some x in Zp then h(x) is ir/reducible over Zp. If h(x) is not equal to zero for all x in Zp, then h(x) is irreducible over Zp.

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