To determine the degree of the polynomial [tex]\(6x^2 + 7x^3 + 8x^5 + 9\)[/tex], we follow these steps:
1. Identify the degrees of each term:
- The term [tex]\(6x^2\)[/tex] has a degree of 2.
- The term [tex]\(7x^3\)[/tex] has a degree of 3.
- The term [tex]\(8x^5\)[/tex] has a degree of 5.
- The term [tex]\(9\)[/tex] (a constant term) has a degree of 0.
2. Determine the highest degree among these terms:
- The degrees are 2, 3, 5, and 0.
3. Identify the maximum degree:
- The highest degree from the list \{2, 3, 5, 0\} is 5.
Thus, the degree of the polynomial [tex]\(6x^2 + 7x^3 + 8x^5 + 9\)[/tex] is [tex]\( \boxed{5} \)[/tex].
