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Question

How do you classify a polynomial?


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Solution

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, x2+x+2 , y2+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,y2are monomial.

Binomial polynomial :

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

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

Example: 2x4+2,x8+1,x+yetc, are binomials.

Trinomial polynomial :

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

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

Example: x3+x2+1,x+y+2etc, 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.


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