The constant polynomial whose coefficients are all equal to 0. The corresponding polynomial function is the constant function with value 0, also called the zero map. The zero polynomial is the additive identity of the additive group of polynomials.
The degree of the zero polynomial is undefined, but many authors conventionally set it equal to or . In the Wolfram Language, Exponent[0, x] returns -Infinity.
See also
Additive Identity, Constant Polynomial, Polynomial, Zero
This entry contributed by Margherita Barile
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Cite this as:
Barile, Margherita. "Zero Polynomial." From MathWorld--A Wolfram Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/ZeroPolynomial.html