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# Trinomial

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

Trinomial expressions

\( 3x + 5y + 8z \) with x, y, z variables

\( 3t + 9s^2 + 3y^3 \) with t, s, y variables

\( 3ts + 9t + 5s \) with t, s variables

\( A x^a y^b z^c + B t + C s \) with x, y, z, t, s variables, a, b, c nonnegative integers and A, B, C any co \( nstants.

\( Px^a + Qx^b + Rx^c\) where x is variable and constants a, b, c are nonnegative integers and P, Q, R any constants.

Trinomial equation

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

Trinomial expansion

Monomial

Binomial

Multinomial

Simple expression

Compound expression

References

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. Mathworld

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