Write the Degree of Zero Polynomial?

By K Balaji|Updated : November 7th, 2022

The degree of a zero polynomial is zero as it contains no terms.

The polynomial 0 is referred to as a zero polynomial because it contains no terms at all. The zero polynomial lacks a degree since it contains no non-zero terms.

Degree of Zero Polynomial

  • Algebraic expressions called polynomials include coefficients and variables. Indeterminates are another name for variables.
  • For polynomial expressions, we can do mathematical operations like addition, subtraction, multiplication, and positive integer exponents but not division by variables.
  • Polynomial is formed composed of the phrases Nominal, which means "terms," and Poly, which means "many."
  • An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
  • The expression is divided into three categories: monomial, binomial, and trinomial depending on how many terms are included in it.
  • The highest exponent of a monomial contained within a polynomial is referred to as the polynomial's degree. As a result, a polynomial equation with one variable having the biggest exponent is referred to as a polynomial degree.
  • The portions of the equation that are often separated by "+" or "-" signs are known as polynomial terms. Thus, each term in a polynomial expression is a portion of the polynomial.

Summary:-

Write the Degree of Zero Polynomial?

A zero polynomial has a degree of zero since it has no terms. Because it has zero terms, the polynomial 0 is also known as a zero polynomial. Since the zero polynomial doesn't have any non-zero terms, it is degreeless.

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