Respuesta :

The given expression \(5r^4 - 4r^4 s^5\) is a polynomial. It's a polynomial in two variables \(r\) and \(s\), specifically, it's a polynomial in terms of \(r\) and \(s\).

The type of polynomial is determined by the number of variables involved. Since there are two variables, it's a polynomial in two variables.

The degree of the polynomial is determined by the highest power of the variables present in the expression. In this case, the highest power of the variables is \(s⁵\), so the degree of the polynomial is \(5).

So, the polynomial is a polynomial in two variables of degree \(5).