Degree of Polynomial Applications
The following are some important applications of the degree of a polynomial:
- With the help of the degree of a polynomial, we can determine the maximum solutions of the given function.
- It also helps to determine the maximum number of times a function crosses the x-axis on a graph when graphed.
- It also helps to determine whether the given polynomial expression is homogeneous or not. By evaluating the degree of each term of the polynomial, we can determine the homogeneity of a polynomial expression.
- If the degrees of all terms of the given polynomial are equal, then it is said to be homogeneous; otherwise, it is non-homogeneous. For example, in 3x2+4xy+y2, the degree of each term is 2. Therefore, the given polynomial expression is a homogeneous polynomial of degree 2.
Related Article:
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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