Let θ: F ==> E be a field isomorphism with p(x) being a non-constant polynomial in F(x) and q(x) being the corresponding non-constant polynomial in E(x).What must be true?

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Let θ: F ==> E be a field isomorphism with p(x) being a non-constant polynomial in F(x) and q(x) being the corresponding non-constant polynomial in E(x).What must be true?