What is the degree of the polynomial 5a^6bc^2+8d^5+7e^6f^2-10g^4h^7?

11

Step-by-step explanation:

The degree of a term is the sum of the powers of its variables. The degree of the polynomial is the largest of the degrees of its terms.

5a^6bc^2 - - degree = 6 + 1 + 2 = 9

8d^5 - - degree = 5

7e^6f^2 - - degree = 6 + 2 = 8

-10g^4h^7 - - degree = 4 + 7 = 11

The largest of the degrees, {9, 5, 8, 11}, is 11.

The degree of the polynomial is 11.