A generalization of the remainder theorem and factor theorem

• F. Laudano ^[1]
  1. [1] Università di Salerno
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 50, Nº. 6, 2019, págs. 960-967
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • We propose a generalization of the classical Remainder Theorem for polynomials over commutative coefficient rings that allows calculating the remainder without using the long division method. As a consequence we obtain an extension of the classical Factor Theorem that provides a general divisibility criterionfor polynomials. The arguments can be used in basic algebra courses and are suitable for building classroom/homework activities for college and high school students.