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Short Division of Polynomials
The College Mathematics Journal
When I teach, I always tell my students to ask me "why". So when I was teaching synthetic division in precalculus, my student Heysel Marte promptly asked why the algorithm worked. I told her that it was an excellent question, thought for a moment, and then presented the following sketch to the class. "Suppose that we want to divide ax 3 + bx 2 + cx + d by x − k. Then we are seeking an answer of the form As a casual comment, I pointed out the caution in the textbook about the limitations of thedoi:10.4169/193113409x469721 fatcat:weugeornnvdtnkwg6sfxsrgo2e