The degree of a polynomial is the greatest power of its variables that appear among its terms.
The given polynomial, is:
![5x^4-3x^2+2x^6-x+7](https://img.qammunity.org/2023/formulas/mathematics/college/bvxma96svefeb95l74q6duf57bup7zgkrv.png)
The powers that appear on the variable x are 4, 2, 6, 1 and 0. The greatest exponent is 6. Therefore, the degree of this polynomial is:
![6](https://img.qammunity.org/2023/formulas/mathematics/college/pc6x99c60qwucidjk4ealyo6hmi9j7d7en.png)