Trinomial

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.^[1]

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
$Ax^{a}y^{b}z^{c}+Bt+Cs$ with $x,y,z,t,s$ variables, $a,b,c$ nonnegative integers and $A,B,C$ any constants.
$Px^{a}+Qx^{b}+Rx^{c}$ 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.^[2]

References

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

Polynomials and polynomial functions

By degree	Zero polynomial (degree undefined or −1 or −∞) Constant function (0) Linear function (1) Quadratic function (2) Cubic function (3) Quartic function (4) Quintic function (5) Sextic equation (6) Septic equation (7) Octic equation (8)

By number of terms and other properties	Monomial Binomial Trinomial Homogeneous Quasi-homogeneous

Tools and algorithms	Factorization Greatest common divisor Division Horner's method of evaluation Resultant Discriminant Gröbner basis

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Trinomial

Trinomial expressions

Trinomial equation

See also

References