Prove that there is a polynomial \(p(x)\) with rational coefficients such that the Galois group of \(p(x)\) over the field of rational numbers is cyclic of order 5.
Question
Math 6310 • Algebra
Fall 1997 • Question 4
Question
Fall 1997 • Question 4
Prove that there is a polynomial \(p(x)\) with rational coefficients such that the Galois group of \(p(x)\) over the field of rational numbers is cyclic of order 5.