Question

what is the degree of the polynomial 5a^6bc^2 + 8d^5 + 7e^6f^2 - 10g^4h^7? enter your answer in the box.

Explanation:

Step1: Find degree of first - term

For the term $5a^{6}bc^{2}$, the sum of exponents is $6 + 1+2=9$.

Step2: Find degree of second - term

For the term $8d^{5}$, the exponent is 5, so the degree is 5.

Step3: Find degree of third - term

For the term $7e^{6}f^{2}$, the sum of exponents is $6 + 2 = 8$.

Step4: Find degree of fourth - term

For the term $- 10g^{4}h^{7}$, the sum of exponents is $4+7 = 11$.

Step5: Determine polynomial degree

The degree of a polynomial is the highest degree of its terms. Among 9, 5, 8 and 11, the highest is 11.

Answer:

11