Mathematics Tripos Papers

  • Part IA
  • Part IB
  • Part II
  • FAQ

Paper 3, Section II, G

Groups, Rings and Modules | Part IB, 2018

(a) State Gauss's Lemma.

(b) State and prove Eisenstein's criterion for the irreducibility of a polynomial.

(c) Determine whether or not the polynomial

f(X)=2X3+19X2−54X+3f(X)=2 X^{3}+19 X^{2}-54 X+3f(X)=2X3+19X2−54X+3

is irreducible over Q\mathbb{Q}Q.

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