Let k ⊂ K be an extension of fields (not necessarily finite-dimensional). Suppose f, g ∈...

Let k ⊂ K be an extension of fields (not necessarily finite-dimensional). Suppose f, g ∈ k[x],

and f divides g in K[x] (that is, there exists h ∈ K[x] such that g = fh. Show that f divides

g in k[x].

Expert Solution

Colby Messinger answered 1 year ago

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