What is Degree of Polynomial?
While checking the degree of polynomial, we need to check the highest power of the variables and ignore their coefficients.
For example, (3x4+5x2+8) is a polynomial expression, and 3x4, 5x2, and 8 are its terms. 3x4 is the leading term, and 8 is the constant term.
The coefficients of the given polynomial are 3 and 5. The degree of the given polynomial is 4 since it is the highest exponent of the variable in the given polynomial expression.
We know that the general form of a polynomial is axn + bxn-1 + cxn-2 +… + 1. So, its degree is n as the highest power of x in the given polynomial expression is n. The image added below shows a polynomial of degree n along with its coefficient and the constant term.
Degree of Polynomial
Degree of a polynomial is defined as the highest power of the variable in the polynomial expression. A polynomial is defined as an algebraic expression that consists of variables and coefficients on which we can perform various arithmetic operations such as addition, subtraction, and multiplication, but we cannot perform division operations by a variable. (4x+3) and (x2+2x+5) are examples of polynomial expressions. So, the degree of these polynomial expressions is 1 and 2, respectively.
Degree of Polynomial is a very important topic for classes 9 and 10. So, in this article, you will learn about the degree of various types of polynomials like constant polynomial, zero polynomial, etc.
Table of Content
- What is Degree of Polynomial?
- Degree of Polynomial Definition
- Degree of Zero Polynomial
- Degree of Constant Polynomial
- Degree of Polynomial with more than one variable
- Classification of Polynomials Based on its Degree
- How to find the Degree of Polynomial?
- Degree of Polynomial Applications
- Degree of polynomial function examples
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