# How many solutions does -x^5+4x^3+4x^1-3x= 0 have?

The degree of a polynomial is equal to its highest-degree term. The degree of a term is equal to the sum of its variable's exponents. In this polynomial, the highest-degree term has a degree of $5$, so the degree of the polynomial is $5$. This is important because a polynomial has the same number of solutions as its degree. Therefore, this fifth-degree polynomial has $5$ solutions.