Question

How do you classify a polynomial?

Answer 1

Definition of a polynomial :

Polynomial is an algebraic expression with terms separated using the operators "$+$" and "$-$" in which the exponents of variables are always non-negative integers.

For example, $x^2+x+2$ , $y^2+1$ are some polynomials.

Polynomials are categorized according to the number of terms and the degree present.

Monomial polynomial :

Monomials are polynomials with only one term.

A number or a product of a number and a variable.

Example: $-6x,y^2$are monomial.

Binomial polynomial :

Binomial is the polynomial with two-term is called binomial.

Two monomial are connected by "$+$" and "$-$" .

Example: $2x^4+2,x^8+1,x+y$etc, are binomials.

Trinomial polynomial :

Trinomial is the polynomial with three-term is called trinomial.

Three monomial are connected by "$+$" and "$-$"

Example: $x^3+x^2+1,x+y+2$etc, are trinomials.

Constant Polynomial:

Constant Polynomial is the polynomial containing only the constant term is a constant polynomial.

Example: $85,-7$ etc. are constant polynomial.

Hence, polynomial can be classified according to the number of terms and the degree present.