Trinomial

A Trinomial is an algebraic expression that has three terms. An algebraic expression consists of variables and constants of one or more terms. These expressions use symbols or operations as separators such as +, –, ×, and ÷. A trinomial along with monomial, binomial, and polynomial are categorized under this algebraic expression.

Definition

A Trinomial is an algebraic expression that has three non-zero terms and has more than one variable in the expression. A trinomial is a type of polynomial but with three terms. A polynomial is an algebraic expression that has one or more terms and is written as

$a_{0}x^{n}+a_{1}x^{n-1}+a_{2}x^{n-2}+.....+a_{n}x^{0}$ in the standard form, where $a_{0},a_{1},a_{2},.....a_{n}$ are constants and $n$ is a natural number.

Examples of trinomial with multiple variables and three terms are $x^{2}+y^{2}+xy$ , $xyz^{3}+x^{2}z^{2}+zy^{3}$

Examples of trinomials with one variable are $x^{2}+2x+3$ , $5x^{4}-4x^{2}+1$