A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
Short Division of Polynomials

2009
*
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 the

doi:10.4169/193113409x469721
fatcat:weugeornnvdtnkwg6sfxsrgo2e