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# About: Factoring Polynomials: Factoring by Grouping

Module by: Wade Ellis, Denny Burzynski. E-mail the authors

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 Name: Factoring Polynomials: Factoring by Grouping ID: m21901 Language: English (en) Summary: This module is from Elementary Algebra by Denny Burzynski and Wade Ellis, Jr. Factoring is an essential skill for success in algebra and higher level mathematics courses. Therefore, we have taken great care in developing the student's understanding of the factorization process. The technique is consistently illustrated by displaying an empty set of parentheses and describing the thought process used to discover the terms that are to be placed inside the parentheses. The factoring scheme for special products is presented with both verbal and symbolic descriptions, since not all students can interpret symbolic descriptions alone. Two techniques, the standard "trial and error" method, and the "collect and discard" method (a method similar to the "ac" method), are presented for factoring trinomials with leading coefficients different from 1. Objectives of this module: know how to factor a polynomial using the grouping method and when to try the grouping method. Subject: Mathematics and Statistics Keywords: algebra, elementary, factoring, grouping, polynomials License: Creative Commons Attribution License CC-BY 3.0 Authors: Copyright Holders: Maintainers: Latest version: 1.4 (history) First publication date: Mar 5, 2009 8:44 am -0600 Last revision to module: May 31, 2009 6:51 pm -0500

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## Version History

 Version: 1.4 May 31, 2009 6:51 pm -0500 by Changes: `Removed link from summary.` Version: 1.3 May 27, 2009 1:50 am -0500 by Changes: `Final Publish.` Version: 1.2 Apr 28, 2009 2:07 am -0500 by Changes: `Dynamic Links added` Version: 1.1 Apr 16, 2009 6:37 am -0500 by Changes: `First Publish.`

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### American Chemical Society (ACS) Style Guide:

Ellis, W.; Burzynski, D. Factoring Polynomials: Factoring by Grouping, Connexions Web site. http://cnx.org/content/m21901/1.4/, May 31, 2009.

### American Medical Assocation (AMA) Manual of Style:

Ellis W, Burzynski D. Factoring Polynomials: Factoring by Grouping [Connexions Web site]. May 31, 2009. Available at: http://cnx.org/content/m21901/1.4/.

### American Psychological Assocation (APA) Publication Manual:

Ellis, W., & Burzynski, D. (2009, May 31). Factoring Polynomials: Factoring by Grouping. Retrieved from the Connexions Web site: http://cnx.org/content/m21901/1.4/

### Chicago Manual of Style (Bibliography):

Ellis, Wade, and Denny Burzynski. "Factoring Polynomials: Factoring by Grouping." Connexions. May 31, 2009. http://cnx.org/content/m21901/1.4/.

### Chicago Manual of Style (Note):

Wade Ellis and Denny Burzynski, "Factoring Polynomials: Factoring by Grouping," Connexions, May 31, 2009, http://cnx.org/content/m21901/1.4/.

### Chicago Manual of Style (Reference, in Author-Date style):

Ellis, W., & Burzynski, D. 2009. Factoring Polynomials: Factoring by Grouping. Connexions, May 31, 2009. http://cnx.org/content/m21901/1.4/.

### Modern Languages Association (MLA) Style Manual:

Ellis, Wade, and Denny Burzynski. Factoring Polynomials: Factoring by Grouping. Connexions. 31 May 2009 <http://cnx.org/content/m21901/1.4/>.