Coefficient

Pronunciation: /ˌkoʊ əˈfɪ ʃənt/ Explain

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. Keigwin, H. W.. Principles of Elementary Algebra. pg 5. www.archive.org. Ginn & Company. 1886. Last Accessed 8/6/2018. http://www.archive.org/stream/principlesofelem00dupurich#page/5/mode/1up/search/coefficient. Buy the book
  2. Bettinger, Alvin K. and Englund, John A.. Algebra and Trigonometry. pg 17. www.archive.org. International Textbook Company. January 1963. Last Accessed 8/6/2018. http://www.archive.org/stream/algebraandtrigon033520mbp#page/n18/mode/1up. Buy the book

More Information

  • McAdams, David E.. Term. allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem LLC. 6/27/2018. http://www.allmathwords.org/en/t/term.html.

Cite this article as:

McAdams, David E. Coefficient. 6/25/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/c/coefficient.html.

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Revision History

6/25/2018: Removed broken links, updated license, implemented new markup, updated GeoGebra apps. (McAdams, David E.)
1/4/2010: Added "References". (McAdams, David E.)
1/29/2009: Added text on implied coefficient of 1. (McAdams, David E.)
6/1/2008: Initial version. (McAdams, David E.)

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