Product of conjugates
DOI:
https://doi.org/10.25255/jss.2017.6.3.618.622Keywords:
Factorable polynomials, binomial conjugatesAbstract
This qualitative study is an extension of the previous research of Solaiman (2016) in which the standard form of a factorable polynomial of nth terms is introduced. Its aim is to investigate other forms of factorable polynomials. It is xn - yn that gives the initial form of the product of the first known binomial conjugates. Another form is the trinomial x4n - (xy)2n + y4n which is a product of x2n - (xy)n + y2n and x2n + (xy)n + y2n for some positive integer n. The result leads to a form of the product of two conjugate polynomials with n terms where n is a positive integer. This paper illustrated that there are still many polynomials which are undiscovered as factorable. Thus, it motivates that students should explore mathematical expressions and formulate equations to develop their mathematical thinking skills to become critical thinkers in the future.
Downloads
References
Coronel, I. C. et. al. (2013). Intermediate Algebra. Philippines: Bookmark.
De Leon, C. M. & Bernabe, J. G. (2002). Elementary Algebra for First Year. Quezon City: JTW Publishing Co.
De Sagun, O. C. (1999). Algebra 2 with Trigonometry. New Jersey: Prentice Hall
Insigne, L. G. et. al. (2003). Intermediate Algebra. Bookman, Inc.
Leithold, Louis. (1992). College Algebra and Trigonometry, (pp. 590, 597 – 604). Canada: Addison – Wesley Publishing Co., Inc.
Swokowski, E. W. & Mendoza, M. O. (2002). Algebra and Trigonometry with Analytic Geometry, 10th edition. Brooks/Cole.
Vance, E. P. (1975). Modern College Algebra, 3rd edition. Addison-Wesley Publishing Co., Inc.
a Creative Commons Attribution 4.0 International License.
