id: 05838515 dt: j an: 2011a.00729 au: Donnell, William A. ti: Elementary theory of factoring trinomials with integer coefficients over the integers. so: Int. J. Math. Educ. Sci. Technol. 41, No. 8, 1114-1121 (2010). py: 2010 pu: Taylor \& Francis, Abingdon, Oxfordshire la: EN cc: H24 H34 F64 ut: factoring trinomials over the integers; middle term splitting method; intermediate algebra; college algebra; elementary number theory; inquiry-based learning (R.L. Moore); quadratic equations ci: li: doi:10.1080/0020739X.2010.500699 ab: 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. rv: