Question: PROBLEM 10 Let f(x) E Q[x] be a polynomial of degree n. Prove that the degree of the splitting field of f() is less than

PROBLEM 10 Let f(x) E Q[x] be a polynomial of
PROBLEM 10 Let f(x) E Q[x] be a polynomial of degree n. Prove that the degree of the splitting field of f() is less than or equal to n! (n factorial)

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