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A One-Line High School Algebra Proof of the Unimodality of the Gaussian Polynomials [ k n ] for k <extremely short and elementary proof of this unimodality for . < any . integer, and a fairly short, semi-combinatorial proof for general .. Combined with Macdonald’s paper in this volume the present paper implies an entirely elementary algebraic proof of the unimodality of the Gaussian polynomials.