**ERIC Number:**EJ1113078

**Record Type:**Journal

**Publication Date:**2016-Sep

**Pages:**4

**Abstractor:**ERIC

**ISBN:**N/A

**ISSN:**ISSN-0025-5769

Factor and Remainder Theorems: An Appreciation

Weiss, Michael

Mathematics Teacher, v110 n2 p153-156 Sep 2016

The high school curriculum sometimes seems like a disconnected collection of topics and techniques. Theorems like the factor theorem and the remainder theorem can play an important role as a conceptual "glue" that holds the curriculum together. These two theorems establish the connection between the factors of a polynomial, the solutions to a polynomial equation, and the graph of a polynomial function. They generalize what is previously learned in first-year algebra, reinforce important ideas about proof that students learn in geometry, and foreshadow important ideas of calculus. There is much more to appreciate about these two theorems than one might think.

Descriptors: Algebra, Mathematics, Mathematical Formulas, Mathematics Teachers, Equations (Mathematics), Mathematical Applications, Mathematical Logic, Validity, Geometry, Calculus, Secondary School Teachers, Academic Standards, Common Core State Standards

National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191. Tel: 800-235-7566; Tel: 703-620-9840; Fax: 703-476-2570; e-mail: NCTM@nctm.org; Web site: http://www.nctm.org/publications/mathematics-teacher/

**Publication Type:**Journal Articles; Reports - Descriptive

**Education Level:**Secondary Education

**Audience:**N/A

**Language:**English

**Sponsor:**N/A

**Authoring Institution:**N/A