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Square This applet demonstrates a geometric interpretation of the method of completing the square. The construction was first described during the 9-th century by the great Persian mathematician Al-Khwarizmi in his book The Compendious Book on Calculation by Completion and Balancing . Square completing is a calculation method allowing to factor a quadratic polynomial expression using the polynomial depression method. Thanks to your feedback and relevant comments, dCode has developed the best 'Completing the Square' tool, so feel free to write!• write a quadratic expression as a complete square, plus or minus a constant • solve a quadratic equation by completing the square. In this unit we look at a process called completing the square. It can be used to write a quadratic expression in an alternative form.