Find the degree of the term $5 x^{5}$ Find the degree of the term - 5 Find the degree of the term $2 x^{8}$ Find the degree of the term $4 x^{7}$ Find the degree of the folynomia $5 x^{5}-5+2 x^{8}+4 x^{7} \square$

Step 1 ：The degree of a term in a polynomial is the exponent of the variable in that term. For example, in the term \(5x^5\), the degree is 5. For a constant term like -5, the degree is 0 because it can be thought of as \(-5x^0\).

Step 2 ：The degree of a polynomial is the highest degree of any term in the polynomial. So, we need to find the degree of each term and then find the maximum among them to get the degree of the polynomial.

Step 3 ：Find the degree of each term: \(5x^5\) is 5, -5 is 0, \(2x^8\) is 8, \(4x^7\) is 7.

Step 4 ：Find the maximum degree among all terms: max(5, 0, 8, 7) = 8.

Step 5 ：Final Answer: The degree of the polynomial \(5 x^{5}-5+2 x^{8}+4 x^{7}\) is \(\boxed{8}\).