page1976 Rings Matthias Lorentzen...mattegrisenforlag.com
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Question
If the elements in the field extension `F[x]"/"langle f(x) rangle`
over F have the form `a+ b * alpha` , with `a , b in F` and
`alpha = x + langle f(x) rangle` is a root of f(x), which of
the alternatives is true:
A) The degree of `F[x]"/"langle f(x) rangle` is 2.
B) The degree of `F[x]"/"langle f(x) rangle` is 1
?
