Trinomial Tree, Trinomial

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

Examples of 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
# $ax^2+bx+c$, the quadratic expression in standard form with $a,b,c$ 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 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.

Some notable trinomials

* The quadratic trinomial in standard form (as from above):
$ax^2+bx+c$

See also

*Trinomial expansion
* Monomial
*Binomial
* Multinomial
*Simple expression
*Compound expression
* Sparse polynomial

References

{{algebra-stub

Elementary algebra
Polynomials