Find the degree of the polynomial $-3x^2y^3z + 4x^2y^5 + 8$.

1. Problem Description

Find the degree of the polynomial $-3x^2y^3z + 4x^2y^5 + 8$.

2. Solution Steps

To find the degree of a polynomial, we need to find the degree of each term and then take the highest degree.

The degree of a term is the sum of the exponents of the variables in that term.

The degree of the term $-3x^2y^3z$ is $2+3+1 = 6$. (Remember that $z$ is the same as $z^1$).

The degree of the term $4x^2y^5$ is $2+5 = 7$.

The degree of the constant term $8$ is $0$.

The degree of the polynomial is the maximum of the degrees of its terms, which is $\max(6, 7, 0) = 7$.

3. Final Answer

7