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    Two non-zero elements of F[x]

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    If f(x) and g(x) are two non-zero elements of F[x], then
    prove that deg [f(x)g(x)] = deg f(x) + deg g(x)

    © BrainMass Inc. brainmass.com April 4, 2020, 1:26 am ad1c9bdddf
    https://brainmass.com/math/ring-theory/613358

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    The solution is in the attached file.

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    Solution Summary

    It proves that deg [f(x)g(x)] = deg f(x) + deg g(x),
    where f(x) and g(x) are two non-zero elements in F[x].
    It shows the relation between the degrees of polynomials in F[x].
    The solution is given in detail.

    $2.19

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