A Generalization of the Remainder Theorem and Factor Theorem

Autor/in	Laudano, F.
Titel	A Generalization of the Remainder Theorem and Factor Theorem
Quelle	In: International Journal of Mathematical Education in Science and Technology, 50 (2019) 6, S.960-967 (8 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Zusatzinformation	ORCID (Laudano, F.)
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0020-739X
DOI	10.1080/0020739X.2018.1522676
Schlagwörter	Generalization; Inferences; Algebra; Mathematical Formulas; Computation; Division; Mathematics Activities; High School Students; College Students; College Mathematics; Secondary School Mathematics + Suchen Sie Ihr Suchwort? Inference; Inferenz; Mathematische Formel; High school; High schools; Student; Students; Oberschule; Schüler; Schülerin; Studentin; Collegestudent
Abstract	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 criterion for polynomials. The arguments can be used in basic algebra courses and are suitable for building classroom/homework activities for college and high school students. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01