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ERIC Number: EJ728217
Record Type: Journal
Publication Date: 2005-Dec
Pages: 11
Abstractor: Author
ISBN: N/A
ISSN: ISSN-0268-3679
EISSN: N/A
The Factorability of Quadratics: Motivation for More Techniques
Bosse, Michael J.; Nandakumar, N. R.
Teaching Mathematics and Its Applications: An International Journal of the IMA, v24 n4 p143-153 Dec 2005
Typically, secondary and college algebra students attempt to utilize either completing the square or the quadratic formula as techniques to solve a quadratic equation only after frustration with factoring has arisen. While both completing the square and the quadratic formula are techniques which can determine solutions for all quadratic equations, this paper will demonstrate that the probability that a randomly selected quadratic with integer coefficients is factorable is extremely small. In addition to the ineffectiveness of factoring, this paper reveals some significant advantages associated with completing the square and the quadratic formula and that these techniques should be utilized more quickly, more often, and certainly before frustration mounts.
Oxford University Press, Great Clarendon Street, Oxford OX2 6DP UK. Tel: +44 1865-353907; Fax: +44 1865-353485; e-mail: jnls.cust.serv@oxfordjournals.org; Web site: http://teamat.oxfordjournals.org/.
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education; Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A