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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.

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- with , , variables
- with , , variables
- with , variables
- with , , , , variables, , , nonnegative integers and , , any constants.
- where is variable and constants are nonnegative integers and , , any constants.

A trinomial equation is a polynomial equation involving three terms. An example is the equation studied by Johann Heinrich Lambert in the 18th century.^{[1]}

**^**Corless, R. M.; Gonnet, G. H.; Hare, D. E. G.; Jerey, D. J.; Knuth, D. E. (1996). "On the Lambert*W*Function".*Advances in Computational Mathematics***5**(1): 329–359. doi:10.1007/BF02124750. http://www.cs.uwaterloo.ca/research/tr/1993/03/W.pdf.

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