申論題

5. Let n be an integer and n ≥2. Following the steps below to show that xⁿ - x - 1 is irreducible over Q. (You can provide another proof and get the credits.)
For a polynomial

(b) [8%] Show that for n ≥ 2 and f(x) = xⁿ -x - 1, the two polynomials have no root in common in C.