Computer algebra systems and theorems on real roots of polynomials

• Autores: Anthony Aidoo, Joseph Manthey, Kim Ward
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 41, Nº. 5, 2010, págs. 673-677
• Idioma: inglés
• DOI: 10.1080/00207390903564694
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• Resumen

  • A computer algebra system is used to derive a theorem on the existence of roots of a quadratic equation on any bounded real interval. This is extended to a cubic polynomial. We discuss how students could be led to derive and prove these theorems.