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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Fall 2004 • Question 8

Question

Math 6310 • Algebra Fall 2004 • Question 8

Prove or disprove that \(f(x)=x^4+x^3+x^2+6x+1\) is irreducible over \(\mathbb {Q}\).

Raw LaTeX

Prove or disprove that \(f(x)=x^4+x^3+x^2+6x+1\) is irreducible over \(\mathbb{Q}\).

Topic Tags

Irreducible Polynomials