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DonkeyKongUh

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  • Really tough geometry question with functions and stuff O_o?

    Let n >= 3 be an integer. Let f(x) and g(x) be

    polynomials with real coefficients such that the points

    (f(1), g(1)), (f(2), g(2)), . . . , (f(n), g(n)) in R2 are

    the vertices of a regular n-gon in counterclockwise order.

    Prove that at least one of f(x) and g(x) has degree

    greater than or equal to n − 1.

    1 AnswerMathematics1 decade ago