The box method for performing polynomial multiplication is a popular form of demonstrating the process of multiplying polynomials. This method is graphical, but still lacks the inherent simplicity as well as the organization of like terms. It still requires that combining terms with x’s in the table itself. While this method is very well received and beneficial, we shall extend this further to work solely with numbers and let the table tell us how to combine the values.

box method, polynomials, polynomial arithmetic, synthetic division.

Received: September 29, 2024; Accepted: November 13, 2024; Published: November 23, 2024

How to cite this article: Jeremy Lane, Extending the box method for polynomial arithmetic, Far East Journal of Mathematical Education 26(2) (2024), 125-134. https://doi.org/10.17654/0973563124014

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

References:
[1] Lianghuo Fan, A generalization of synthetic division and a general theorem of division of polynomials, Mathematical Medley 30(1) (2003), 30-37.