Answer
5; none of these
Work Step by Step
The degree of a polynomial is the largest degree of all its terms.
For the polynomial $-2x^{2}y-3y^{2}+4x+y^{5}$. The last term has the largest exponent sum on its variables, so it will have a larger degree than the rest of the terms. In this term, the exponent on y is 5, so the degree of the term is 5.
Therefore, the degree of this polynomial is 5. The polynomial is a none of these because it has 4 terms.