What is degree of this polynomial 5a2bc plus 6a2b3c-7b2c7?

The degree of a polynomial is determined by the term with the highest total degree when considering the sum of the exponents of the variables in each term. For the polynomial (5a^2bc + 6a^2b^3c - 7b^2c^7), the degrees of the individual terms are 4 (from (5a^2bc)), 5 (from (6a^2b^3c)), and 9 (from (-7b^2c^7)). Therefore, the degree of the polynomial is 9.