6x^{2}+7x^{3}+8x^{5}+9\nwhat is the degree of the polynomial?

Explanation:

Step1: Recall degree - definition

The degree of a polynomial is the highest power of the variable in the polynomial.

Step2: Identify powers

In the polynomial $6x^{2}+7x^{3}+8x^{5}+9$, the powers of $x$ are 2, 3, 5, and 0 (for the constant term 9 which can be written as $9x^{0}$).

Step3: Find the highest power

The highest power among 2, 3, 5, and 0 is 5.

Answer:

5