Question: State whether the given function is a Euclidean norm for the given integral domain. The function for Z[x] given by (f(x)) = (the

State whether the given function ν is a Euclidean norm for the given integral domain.

The function ν for Z[x] given by ν(f(x)) = (the absolute value of the coefficient of the highest degree nonzero term of f(x)) for nonzero f(x) ∈ Z[x]

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