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This article is about mathematics. For the use in taxonomy, see Trinomial name. For the use identifying archaeological sites in the United States, see Smithsonian trinomial.

In elementary algebra, a trinomial is a polynomial consisting of three terms or monomials.

Trinomial expressions[edit]

  1. 3x + 5y + 8z with x, y, z variables
  2. 3t + 9s^2 + 3y^3 with t, s, y variables
  3. 3ts + 9t + 5s with t, s variables
  4. A x^a y^b z^c + B t + C s with x, y, z, t, s variables, a, b, c nonnegative integers and A, B, C any constants.
  5. Px^a + Qx^b + Rx^c where x is variable and constants a, b, c are nonnegative integers and P, Q, R any constants.

Trinomial equation[edit]

A trinomial equation is a polynomial equation involving three terms. An example is the equation x = q + x^m studied by Johann Heinrich Lambert in the 18th century.[1]

See also[edit]


  1. ^ Corless, R. M.; Gonnet, G. H.; Hare, D. E. G.; Jerey, D. J.; Knuth, D. E. (1996). "On the Lambert W Function" (PDF). Advances in Computational Mathematics 5 (1): 329–359. doi:10.1007/BF02124750.