Algebra. consisting of or pertaining to three terms.
pertaining to a scientific name comprising three terms, as of genus, species, and subspecies or variety.
characterized by the use of such names.
Algebra. an expression that is a sum or difference of three terms, as 3 x + 2 y + z or 3 x 3 + 2 x 2 + x.
Biology. a trinomial name, as Rosa gallica pumila.

1665–75; tri- + (bi)nomial

trinomially, adverb Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
trinomial (traɪˈnəʊmɪəl)
1.  maths consisting of or relating to three terms
2.  biology denoting or relating to the three-part name of an organism that incorporates its genus, species, and subspecies
3.  maths a polynomial consisting of three terms, such as ax² + bx + c
4.  biology the third word in the trinomial name of an organism, which distinguishes between subspecies
[C18: tri- + -nomial on the model of binomial]

Collins English Dictionary - Complete & Unabridged 10th Edition
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American Heritage
Science Dictionary
trinomial   (trī-nō'mē-əl)  Pronunciation Key 
  1. A mathematical expression that is the sum of three monomials, such as ax2 + bx - c.

  2. A taxonomic designation indicating genus, species, and subspecies or variety, as in Brassica oleracea botrytis, the cauliflower.

The American Heritage® Science Dictionary
Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
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Example sentences
The resulting trinomial system consists of a state number, a county letter code, and then a sequential number within each county.
The trinomial, reducing the masked bobwhite to subspecific status, is presently the accepted nomenclature.
Only those which can adequately be represented by binomial or trinomial botanical nomenclature are included.
Discuss how factoring a trinomial can help you find the x-intercepts.
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