Binomial

Pronunciation: /baɪˈnoʊ mi əl/ ?

A binomial is a polynomial with two terms, such as 2x + 3y.[1]

The special binomial a2-b2 can be factored as (a-b)(a+b). a and b can be any monomial term.

The binomial theorem can be used to find any particular term of a binomial with an integer exponent: (a+b)n, n ∈ ℕ.

References

  1. binomial. http://wordnet.princeton.edu/. WordNet. Princeton University. (Accessed: 2011-01-08). http://wordnetweb.princeton.edu/perl/webwn?s=binomial&sub=Search+WordNet&o2=&o0=1&o7=&o5=&o1=1&o6=&o4=&o3=&h=.
  2. Underwood, Ralph S.; Thomas, Nelson; and Selby, Samuel. Intermediate Algebra, pg 9. The Macmillan Company, 1947. (Accessed: 2010-01-08). http://www.archive.org/stream/intermediatealge033585mbp#page/n20/mode/1up/search/binomial.
  3. Keigwin, H. W.. Principles of Elementary Algebra, pg 4. Ginn & Company, 1886. (Accessed: 2010-01-12). http://www.archive.org/stream/principlesofelem00dupurich#page/4/mode/1up/search/binomial.
  4. 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. Polynomial. allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem LLC. 2009-03-12. http://www.allmathwords.org/article.aspx?lang=en&id=Polynomial.
  • McAdams, David. Binomial Theorem. allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem LLC. 2009-03-12. http://www.allmathwords.org/article.aspx?lang=en&id=Binomial Theorem.

Cite this article as:


Binomial. 2010-01-08. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/b/binomial.html.

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2010-01-08: Added "References" (McAdams, David.)
2008-06-28: Expanded text and Other Information (McAdams, David.)
2008-04-15: Initial version (McAdams, David.)

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