ergof zero polynomial is

The zero polynomial is a polynomial in which all coefficients are zero. It is typically denoted as \(0\) or \(0(x)\). The zero polynomial has the following properties: 1. **Degree**: The degree of the zero polynomial is often considered to be undefined or sometimes defined as \(-\infty\). This is because it does not have any non-zero terms. 2. **Roots**: The zero polynomial has every number as a root, since it equals zero for all values of \(x\). 3. **Addition**: When you add the zero polynomial to any other polynomial, the result is the other polynomial itself. For example, \(p(x) + 0 = p(x)\). 4. **Multiplication**: When you multiply any polynomial by the zero polynomial, the result is the zero polynomial. For example, \(p(x) \cdot 0 = 0\). The zero polynomial plays a crucial role in polynomial algebra and is often used as the additive identity in the space of polynomials.