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

CURL

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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