Prove that the set of all quotients f(x)/g(x) with f(x). g(x) E F[x]. and g(x) f. o. is
Chapter 42, Problem 42.8(choose chapter or problem)
Prove that the set of all quotients f(x)/g(x) with f(x). g(x) E F[x]. and g(x) f. o. is afield with respect to the usual equality of fractions and the usual operations from elementaryalgebra. Also explain why this field is isomorphic to the field of quotients of F [x].
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