Degree of Zero Polynomial
A polynomial is said to be a zero polynomial if the coefficients of all the variables are equal to zero. Let the zero polynomial be f (x) = 0. Now, we can write it as f(x) = 0x0, f(x) = 0x1, f(x) = 0x2, f(x) = 0x3, etc. So, we can say that the degree of zero polynomial is undefined. Sometimes it is defined as negative (-1 or -∞).
Check: Zeros of Polynomial
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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