Simplified three-step alpha factorization method applied to quadratic expressions

Authors

DOI:

https://doi.org/10.58594/rtest.v5i3.192

Keywords:

Alpha method, factoring, quadratic expressions, mathematical procedures

Abstract

The article introduces the Alpha Method, an innovative approach to factoring quadratic expressions characterized by a graphical representation resembling the Greek letter alpha, which enables solving quadratic equations in three systematic steps, replacing traditional trial-and-error methods. Motivated by the recurring difficulties students face when tackling factoring processes, the study employs a descriptive design with a qualitative approach, developing a methodological proposal based on analytical reflection that allows precise determination of an expression's factorability, reducing subjectivity in problem-solving. The results demonstrate that the Alpha Method is applicable to 10 out of the 14 classic cases of quadratic factoring, highlighting significant advantages such as concise structure, procedural clarity, and a high degree of certainty, eliminating the need for conjectures or approximations. Additionally, its didactic and accessible nature makes it a valuable tool for both teachers and students, optimizing resolution time and ensuring reliable results through standardized algebraic procedures. The methodological proposal not only facilitates learning and understanding of factoring but also strengthens algebraic skills through a visual and systematic approach that can be integrated into formal mathematics instruction. In conclusion, the Alpha Method represents an efficient and pedagogical alternative to traditional methods, providing an innovative strategy that enhances the learning experience and fosters confidence in solving quadratic expressions.

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Author Biography

Carlos Elio Céspedes-Jiménez, Universidad Privada Domingo Savio. Bolivia.

 

 

References

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Published

2025-09-02

How to Cite

Céspedes-Jiménez, C. E., De Llano-López, J., Vega-Almaguer, M., & Toyama-Uyehara, R. (2025). Simplified three-step alpha factorization method applied to quadratic expressions. Revista Transdiciplinaria De Estudios Sociales Y Tecnológicos, 5(3), 98–106. https://doi.org/10.58594/rtest.v5i3.192

Issue

Vol. 5 No. 3 (2025): Perspectivas interdisciplinarias: innovación, sostenibilidad y transformación social (Septiembre-diciembre)

Section

Artículos

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Copyright (c) 2025 Carlos Elio Céspedes-Jiménez, Javier De Llano-López, Manuel Vega-Almaguer, Rubén Toyama-Uyehara

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