Coefficient

Pronunciation: /ˌkoʊ əˈfɪ ʃənt/ ?

3x^3+2x^2-4x-1 where 3, 2, -4, -1 are the coefficients.
Figure 1: Coefficients

A coefficient is a number multiplied by one or more variables.[1] In the term 3x, the coefficient is 3. In figure 1, the coefficients are red. The coefficients in figure 1 are (3, 2, -4, -1). A variable without a coefficient has an implied coefficient of 1 (x3 = 1·x3). In the expression x2 + 5, the term containing x2 has an implied coefficient of 1. Applying the property of multiplying by 1 to the term gives x2 = 1·x2.

References

  1. coefficient. http://wordnet.princeton.edu/. WordNet. Princeton University. (Accessed: 2011-01-08). http://wordnetweb.princeton.edu/perl/webwn?s=coefficient&sub=Search+WordNet&o2=&o0=1&o7=&o5=&o1=1&o6=&o4=&o3=&h=.
  2. Keigwin, H. W.. Principles of Elementary Algebra, pg 5. Ginn & Company, 1886. (Accessed: 2010-01-12). http://www.archive.org/stream/principlesofelem00dupurich#page/5/mode/1up/search/coefficient.
  3. Bettinger, Alvin K. and Englund, John A.. Algebra and Trigonometry, pg 17. International Textbook Company, January 1963. (Accessed: 2010-01-12). http://www.archive.org/stream/algebraandtrigon033520mbp#page/n18/mode/1up.

More Information

  • McAdams, David. Term. allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem LLC. 2009-03-12. http://www.allmathwords.org/article.aspx?lang=en&id=Term.

Cite this article as:


Coefficient. 2010-01-04. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/c/coefficient.html.

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2010-01-04: Added "References" (McAdams, David.)
2009-01-29: Added text on implied coefficient of 1 (McAdams, David.)
2008-06-01: Initial version (McAdams, David.)

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