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In elementary algebra, a trinomial is a polynomial consisting of three terms or monomials. [1]


Trinomial expressions

  1. with variables
  2. with variables
  3. with variables
  4. with variables, nonnegative integers and any constants.
  5. where is variable and constants are nonnegative integers and any constants.

Trinomial equation

A trinomial equation is a polynomial equation involving three terms. An example is the equation studied by Johann Heinrich Lambert in the 18th century. [2]

Some notable trinomials


For example, the polynomial (x2 + 3x + 2) is an example of this type of trinomial with n = 1. The solution a1 = 2 and a2 = 1 of the above system gives the trinomial factoring:

(x2 + 3x+ 2) = (x + a1)(x + a2) = (x + 2)(x + 1).

The same result can be provided by Ruffini's rule, but with a more complex and time-consuming process.

See also

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  1. "Definition of Trinomial". Math Is Fun. Retrieved 16 April 2016.
  2. 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.