Is zero a polynomial?
Understand the Problem
The question is asking whether zero can be classified as a polynomial. A polynomial is generally defined as an expression involving a sum of powers in one or more variables multiplied by coefficients. In this case, we need to consider whether the expression 'zero' meets the criteria for being a polynomial.
Answer
Yes
Yes, zero is considered a polynomial.
Answer for screen readers
Yes, zero is considered a polynomial.
More Information
Zero is considered a polynomial called the 'zero polynomial,' where all coefficients are zero, resulting in the polynomial always evaluating to zero. Its degree is undefined.
Tips
A common mistake is assuming that because zero doesn't have variables or exponents, it can't be a polynomial. However, polynomials can include constant terms, including zero.
Sources
- Zero Polynomial Definition, Degree & Zero - Cuemath - cuemath.com
- Zero Polynomial -- from Wolfram MathWorld - mathworld.wolfram.com
- Is zero a polynomial? If yes, then how? - Quora - quora.com
