General form of a factorable polynomial

  • Normalah P. Solaiman, Prof. Dr. Mindanao State University, Marawi City, Philippines
  • Engr. Maryam Q. Manalundong Mindanao State University, Marawi City, Philippines

Abstract

This paper provides extension to the types of factoring of polynomials to illustrate the fact that multiplication with polynomials has no restrictions when it comes to the number of terms so does factoring. It aims to develop students’ perception about polynomials and to motivate them to continue discovering factorable polynomials.that are new to us.The idea originated from the expression x4 + x2 y2 + y4 which is a product of x2 + xy + y2 and x2 – xy + y2. Factor theorem, rational zeros of a polynomial, and symmetric and transitive properties of real numbers were used in this study in proving other factorable polynomials. The contents include the difference of perfect nth powers (ax)n – (by)n, the trinomial of the form   xn + (xy)n/2 + yn, and the general form of a factorable polynomial p(x) = xn + xn – d yd + xn – 2d y2d + … + x2dyn – 2d + xdyn – d + yn for some positive integers n and d with a and b as real numbers.

References

Ababa, Zenaidaet., al. (2003). Basic Mathematics Workbook, Third Edition. Marawi City: Mindanao State University – University Book Center.

Leithold, Louis. (1992). College Algebra and Trigonometry, (pp. 590, 597 – 604). Canada: Addison – Wesley Publishing Co., Inc.
Published
2017-04-01
How to Cite
SOLAIMAN, Normalah P.; MANALUNDONG, Engr. Maryam Q.. General form of a factorable polynomial. Journal of Social Sciences (COES&RJ-JSS), [S.l.], v. 6, p. 50-54, apr. 2017. ISSN 2305-9249. Available at: <http://centreofexcellence.net/index.php/JSS/article/view/jss.2017.6.2S.50.54>. Date accessed: 19 dec. 2018. doi: https://doi.org/10.25255/jss.2017.6.2S.50.54.
Section
Articles