Titlebook: Elements of Mathematics; A Problem-Centered A Gabor Toth Textbook 2021 The Editor(s) (if applicable) and The Author(s), under exclusive lic

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Polynomial Functions,s and monotonicity) for graphs of polynomial functions using synthetic division applied to difference quotients. We treat the difference quotient of a polynomial as a rational function with a removable singularity at the point where the quotient is taken. Removing the singularity then takes us direc

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Conics,rties of them with applications and full historical details. We show how parabolas can be used to give a geometric interpretation of the Babylonian method of extracting square roots. Finally, we use symmetry properties of hyperbolas to present a geometric proof of the famous 1988 International Mathe

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