Answer:
11
Explanation:
The degree of a polynomial is he highest of the degrees of its monomials (individual terms) with non-zero coefficients.
You are given the polynomial
![5a^6bc^2+8d^5+7e^6f^2-10g^4h^7](https://img.qammunity.org/2020/formulas/mathematics/high-school/x0d8k2n31xjef5ttfal0m4bxi7m8y8hoir.png)
It consists of 4 terms:
The degrees are:
- of the first term is
![6+1+2=9](https://img.qammunity.org/2020/formulas/mathematics/high-school/20503kx87kyp3io7f9yz0nu7csnuw5tsqk.png)
- of the second term is
![5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/jv8zc7no2pb5wrtzpv4xd9y1pcvupwe0gl.png)
- of the third term is
![6+2=8](https://img.qammunity.org/2020/formulas/mathematics/college/gcjlxkpo35ywyyg4rwsp95zhomc64chpek.png)
- of the fourth term is
![4+7=11](https://img.qammunity.org/2020/formulas/mathematics/high-school/6uix1ewfihytq1ytiwu1yrae7gx2ypuvgs.png)
The greatest degree is 11.