Good question!
The zero polynomial "0" could result from any of the following: (0), (0)x, (0)x2, (0)x3, etc. Since you don't know which it came from, you can't say what the degree is.
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a constant polynomial has a degree zero (0).
It is any function of the form ax3 + bx2 + cx +d where a is not zero.
The degree of the polynomial.
The degree of a polynomial is the highest exponent on any independent variable in the polynomial.
Yes. A monomial is a zero-degree polynomial. Although the prefix poly means "several" the definition allows for any finite number of terms.