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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)

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https://brainmass.com/math/ring-theory/613358

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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.

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