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Date: 02/26/2001 at 11:00:26
From: Morrill

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

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.

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/
```
Associated Topics:
High School Definitions
High School Polynomials

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