QuadrinomialsDate: 02/26/2001 at 11:00:26 From: Morrill Subject: Quadrinomial My student is doing a research project for class and her word is "quadrinomial." She would like some information from you. She could not find any reference to it in the archives. If she is not entering the correct keyword, please let us know. What is a quadrinomial and how is it used? Date: 02/26/2001 at 12:07:57 From: Doctor Peterson Subject: Re: Quadrinomial Hi! I've never seen the word, and it's not in my dictionary, but I can figure out what it has to mean. A "polynomial" in algebra is an expression consisting of a sum of terms, each of which is the product of some number and a power of one or more variables. A "monomial" is a polynomial with one term; a binomial and trinomial have two and three terms. So a "quadrinomial" would be a polynomial with four terms. To find more about this, you'll want to look up "polynomial." I'm not surprised that the word isn't in our archives, because it isn't used often. A Google search revealed a number of references to the word, including several like this one: For What It's Worth - Educational Standards http://www.execpc.com/~jfish/fwiw/fwiw0061.txt An example of a "homogeneous quadrinomial of the third degree," referred to there, is x^3 + 3x^2 y + 4x y^2 + 5y^3 where ^ indicates an exponent. This consists of four terms (quadrinomial), each of which is the product of a constant and three variables (homogenous, third degree). - Doctor Peterson, The Math Forum http://mathforum.org/dr.math/ |
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