How Do You Spell TRINOMIAL?

Pronunciation: [tɹa͡ɪnˈə͡ʊmɪəl] (IPA)

Trinomial (/traɪˈnoʊmɪəl/) is a mathematical term used to describe an algebraic expression that consists of three terms. The word is spelled with the prefix "tri-", meaning three, and the suffix "-nomial," which refers to an expression consisting of terms. The pronunciation of "trinomial" breaks down into three syllables with a stress on the "tri-" syllable. The vowel sounds are "aɪ" and "oʊ," representing the letters "i" and "o" in the spelling. The final "al" is pronounced as "əl."

TRINOMIAL Meaning and Definition

1. A trinomial is a mathematical expression that consists of three terms connected by mathematical operations such as addition or subtraction. It is a type of polynomial, which is an algebraic expression involving multiple terms. The trinomial is specifically characterized by having three terms, hence the prefix "tri-," meaning "three."

   Each term within a trinomial is made up of a combination of variables and constants, where variables represent unknown quantities and constants represent known quantities. These terms are separated by either addition or subtraction symbols. The variables may be raised to different exponents, such as squared (to the power of 2) or cubed (to the power of 3).

   Trinomials can be found in various mathematical contexts, including algebra, calculus, and geometry. They are particularly common in algebraic equations and expressions, where they are often manipulated and solved using algebraic techniques.

   For example, the trinomial "3x^2 + 5xy - 2y^2" consists of three terms: "3x^2," "5xy," and "-2y^2." In this expression, "x" and "y" represent variables, while "3," "5," and "-2" are constants. The exponents indicate the power to which each variable is raised. The addition and subtraction operators connect the terms together. Trinomials may also be used to describe geometric shapes, such as trinomial factoring in quadratic equations or trinomial expansions in binomial theorems.

2. Having three names, noting certain zoological or botanical terms, as Diplococcus intracellularis meningitidis.

   A practical medical dictionary. By Stedman, Thomas Lathrop. Published 1920.

3. • Applied to an algebraic expression consisting of three terms.

   • An algebraic quantity consisting of three terms.

   Etymological and pronouncing dictionary of the English language. By Stormonth, James, Phelp, P. H. Published 1874.

Common Misspellings for TRINOMIAL

• uminominal
• Trinocdial
• trinnomial
• trinominal
• triactial
• trinimals
• trinomialis
• Trilnomial

Etymology of TRINOMIAL

The word "trinomial" has its roots in Latin and Greek. The Latin prefix "tri-" means "three", derived from the Greek word "treis" (τρείς). The Latin suffix "-nomial" comes from the Latin word "nomen" which means "name" or "term". Therefore, "trinomial" combines the prefix "tri-" with the suffix "-nomial" to express a mathematical expression or equation consisting of three terms or names.

Plural form of TRINOMIAL is TRINOMIALS