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.