Polynomial is one of the most important term used in mathematical world which plays an important role in almost every type of mathematical equations or statements. Terminologies or concepts used in Polynomial equations are are monomial, binomial and trinomials. Algebraic equation with all variables having whole number, exponents or powers are called polynomials. Monomials are the Algebraic expression consist of single term and those algebraic expression comes equipped with two terms are known as Binomial Whereas the expressions with more than two terms or having three terms are known as Trinomials.
Lets talk about Polynomial functions used in mathematics. Polynomial function includes various things like terms, factors, variables, and constants. Let us talk about all the above terminologies in detail which are required to form a polynomial function. Terms can be explained as when numbers are implemented with addition or subtraction are known as terms. Terms can be further divided in to two sections that are Like terms or Unlike terms. Terms that has the same power of the same variables are called Like terms. The terms used in an expression that do not contain the same power of the same variables are called unlike terms. In an expression if the product of the numbers are used then the expression is called as factors. Variables are just representing a symbol which uses different values under it whereas constant is a single value symbol.
A polynomial equations comes with the sum of the power of same derivatives and includes different integer constants, while the derivatives used are finite in numbers.
Lets take some examples of Polynomial equations to understand it better.
7xyz : Monomial
x + 7y : Binomial
x + 3y – c : Trinomial