Algebraic Extensions and Minimal Poly

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Is this typo? [E:F]=m, then the set {1, b, b², ...b^m} is linearly dependent then c_mb^m+...+c_0=0. I think c_mb^m not c_nb^m.

MinH-lqfo
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Small typo at 8:40 : coefficient of \alpha^{n-2} should be c_{n-2} as instead of c_{n-1}.

kanextension