Trinomial

Trinomial

In elementary algebra, a trinomial is a polynomial consisting of three terms; in other words, a trinomial is the sum of three monomials. It can be factored using simple steps

In linguistics, a trinomial is a fixed expression which is made from three words; e.g. "lights, camera, action", "signed, sealed, delivered".

Examples

# 3x + 5y + 8n
# 3t + 9s + 3y
# 3ts + 9t + 5s

ee also

*Trinomial expansion
*Monomial
*Binomial
*Multinomial
*Algebraic quantity
*Simple expression
*Compound expression


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  • Trinomial — Tri*no mi*al, a. 1. (Math.) Consisting of three terms; of or pertaining to trinomials; as, a trinomial root. [1913 Webster] 2. (Nat. Hist.) Consisting of, or involving the use of, three terms; as, a trinomial systematic name specifying the genus …   The Collaborative International Dictionary of English

  • Trinomial — Tri*no mi*al, n. [Pref. tri + nomial as in binomial: cf. F. trin[^o]me.] (Math.) A quantity consisting of three terms, connected by the sign + or ; as, x + y + z, or ax + 2b c^{2}. [1913 Webster] …   The Collaborative International Dictionary of English

  • trinomial — 1670s, from TRI (Cf. tri ) + second element from BINOMIAL (Cf. binomial) …   Etymology dictionary

  • trinomial — [trī nō′mē əl] n. [ TRI + (BI)NOMIAL] 1. a mathematical expression consisting of three terms connected by plus or minus signs 2. the scientific name of a plant or animal taxon, consisting of three words designating in order the genus, species,… …   English World dictionary

  • trinomial — tri·no·mi·al trī nō mē əl n a trinomial name trinomial adj 1) being a name belonging to botanical or zoological nomenclature composed of a first term designating the genus, a second term designating the species, and a third term designating the… …   Medical dictionary

  • trinomial — I. noun Etymology: tri + nomial (as in binomial) Date: 1674 1. a polynomial of three terms 2. a biological taxonomic name of three terms of which the first designates the genus, the second the species, and the third the subspecies or variety II.… …   New Collegiate Dictionary

  • trinomial — trinomially, adv. /truy noh mee euhl/, adj. 1. Algebra. consisting of or pertaining to three terms. 2. Biol. a. pertaining to a scientific name comprising three terms, as of genus, species, and subspecies or variety. b. characterized by the use… …   Universalium

  • trinomial — [trʌɪ nəʊmɪəl] adjective 1》 (of an algebraic expression) consisting of three terms. 2》 Biology (of a taxonomic name) consisting of three terms where the first is the name of the genus, the second that of the species, and the third that of the… …   English new terms dictionary

  • trinomial — /traɪˈnoʊmiəl/ (say truy nohmeeuhl) Mathematics –noun 1. an expression consisting of three terms linked by the signs of addition and/or subtraction. –adjective 2. consisting of or relating to three terms or a trinomial. {tri + (bi)nomial} …  

  • Trinomial expansion — In mathematics, a trinomial expansion is the expansion of a power of a sum of three terms into monomials. The expansion is given by :(a+b+c)^n = sum {i,j,k} {n choose i,j,k}, a^i , b^j , c^k where n is a nonnegative integer and the sum is taken… …   Wikipedia

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