Binomial

Pronunciation: /baɪˈnoʊ.mi.əl/ Explain

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

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. McAdams, David E.. All Math Words Dictionary, binomial. 2nd Classroom edition 20150108-4799968. pg 26. Life is a Story Problem LLC. January 8, 2015. Buy the book
2. Underwood, Ralph S.; Thomas, Nelson; and Selby, Samuel. Intermediate Algebra. pg 9. www.archive.org. The Macmillan Company. 1947. Last Accessed 6/19/2018. http://www.archive.org/stream/intermediatealge033585mbp#page/n20/mode/1up/search/binomial. Buy the book
3. Keigwin, H. W.. Principles of Elementary Algebra. pg 4. www.archive.org. Ginn & Company. 1886. Last Accessed 6/19/2018. http://www.archive.org/stream/principlesofelem00dupurich#page/4/mode/1up/search/binomial. Buy the book
4. Bettinger, Alvin K. and Englund, John A.. Algebra and Trigonometry. pg 17. www.archive.org. International Textbook Company. January 1963. Last Accessed 6/19/2018. http://www.archive.org/stream/algebraandtrigon033520mbp#page/n18/mode/1up. Buy the book

More Information

• McAdams, David E.. Polynomial. allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem LLC. 6/22/2018. https://www.allmathwords.org/en/p/polynomial.html.

Cite this article as:

McAdams, David E. Binomial. 4/12/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. https://www.allmathwords.org/en/b/binomial.html.

Revision History

4/12/2019: Changed equations and expressions to new format. (McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
6/22/2018: Removed broken links, updated license, implemented new markup. (McAdams, David E.)
1/8/2010: Added "References". (McAdams, David E.)
6/28/2008: Expanded text and Other Information. (McAdams, David E.)
4/15/2008: Initial version. (McAdams, David E.)