What Is the Degree of the Zero Polynomial?
The degree of a polynomial is a fundamental concept in algebra, typically defined as the highest power of the variable with a non-zero coefficient. Still, the zero polynomial—defined as the polynomial where all coefficients are zero—poses a unique challenge. Unlike non-zero polynomials, the zero polynomial lacks a term with a non-zero coefficient, making its degree a subject of debate and nuanced interpretation.
Counterintuitive, but true.
The Standard Definition of Polynomial Degree
For a non-zero polynomial, the degree is determined by identifying the term with
