Degree of Polynomial with more than one variable
If a polynomial has more than one variable, then its degree is calculated by adding the exponents of each variable.
Example: Calculate the degree of the polynomial 13x4 + 8x3y2 + 7x2y+11xy.
Solution:
The given polynomial expression is 13x4 + 8x3y2 + 7x2y+11xy.
Now, let’s calculate the degree of each term.
13x4 has a degree of 4 since the power of x is 3.
8x3y2 has a degree of 5 since the power of x is 3 and the power of y is 3. So, by adding the exponents of x and y, we get 5.
7x2y has a degree of 3 since the power of x is 2 and the power of y is 1. So, by adding the exponents of x and y, we get 3.
11xy has a degree of 2 since the power of both x and y is 1. So, by adding the exponents of x and y, we get 2.
The largest degree out of these is 5, so the degree of the given polynomial expression is 5.
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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