In Mathematics, a polynomial is defined as an algebraic expression which consists of variables, coefficients, and mathematical operations such as addition, subtraction, multiplication or division. In this article, let us discuss the polynomial definition, its standard form, types, examples and applications.
Polynomial Definition in Maths
A polynomial is defined as an expression which consists of single or multiple terms. The term polynomial is originated from two different terms such as “poly” and “Nomial”. The term “poly” means many and “nomial” means terms. In short, a polynomial is an algebraic expression which has two or more algebraic terms. It has variables, constants, coefficients, exponents and operators.
Variable: An alphabet which is used to represent the unknown value
Coefficient: A number which is multiplied with the variable
Operator: Operator may be either addition (+), subtraction (-), multiplication (*), etc.
Constant: The value which cannot be changed is called constant
Standard Form of a Polynomial
The general form to represent the polynomial is as follows:
Here, a0 ,….an is a constant
x is a variable
Types of Polynomial
The different types of polynomial expressions are:
- Monomial – Expression with a single term. Example 4x
- Binomial – Expression with two terms. Example: 4x+5y
- Trinomial – Expression with exactly three terms. Example: 7x2 + 5y – 2z
Applications of Polynomials
The applications of polynomials are given below:
- Polynomials are used in physics, chemistry, and electronics
- It is used in construction
- Used in Roller coaster design to describe the curves
- Mathematical models are used in meteorology, to represent weather patterns.
Polynomials Example
Question:
Determine if the given expression is polynomial or not.
- 6x2 (b) 7x+8y (c) 4x-3
Solution:
(a) 6x2 – The given term is a polynomial with a single term (monomial)
(b) 7x+8y – It is a polynomial with two terms (Binomial)
(c) 4x-3 – The given term is not a polynomial because it has negative exponents.(i.e) -3
Stay tuned with BYJU’S – The Learning App and download the app to get all the important Maths-related concepts.
Comments