Elementary theory of factoring trinomials with integer coefficients over the integers. (English)

Int. J. Math. Educ. Sci. Technol. 41, No. 8, 1114-1121 (2010).

Summary: An important component of intermediate and college algebra courses involves teaching students methods to factor a trinomial with integer coefficients over the integers. The aim of this article is to present a theoretical justification of that which is often taught, but really never explained as to why it works. The theory is presented, and a suggestion for an inquiry-based learning project is given.