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The problem presented asks to determine the degree of each term in the polynomial and the degree of the entire polynomial. The polynomial given is:

\[
3b^8 + 9b^9d^8 + 5b^5d^5 + 6b^5 - 8
\]

### Degree of each term:
1. **Degree of \( 3b^8 \)**:
   - The degree of \( 3b^8 \) depends on the exponent of \( b \), which is \( 8 \).
   - **Degree = 8**.

2. **Degree of \( 9b^9d^8 \)**:
   - The degree of a term with multiple variables is the sum of the exponents. Here, the degree is \( 9 + 8 = 17 \).
   - **Degree = 17**.

3. **Degree of \( 5b^5d^5 \)**:
   - Sum of the exponents of \( b \) and \( d \): \( 5 + 5 = 10 \).
   - **Degree = 10**.

4. **Degree of \( 6b^5 \)**:
   - The exponent of \( b \) is \( 5 \), so the degree of this term is \( 5 \).
   - **Degree = 5**.

5. **Degree of \( -8 \)**:
   - Constants have a degree of \( 0 \) because there are no variables.
   - **Degree = 0**.

### Degree of the polynomial:
The degree of the polynomial is the highest degree of all its terms. The highest degree term is \( 9b^9d^8 \) with a degree of 17.

Thus, the degree of the polynomial is **17**.

Let me know if you want more details or have any questions! Here are some related questions:

1. What is the degree of a constant in any polynomial?
2. How do you find the degree of a term with multiple variables?
3. What does it mean for a polynomial to have a certain degree?
4. How does adding variables affect the degree of a term?
5. Can a polynomial have more than one highest degree term?

**Tip**: Always sum the exponents of all variables in a term when finding its degree.

Determine the degree of each term and the degree of the polynomial: 3b^8 + 9b^9d^8 + 5b^5d^5 + 6b^5 - 8

Learn how to determine the degree of each term and the overall degree of the polynomial 3b^8 + 9b^9d^8 + 5b^5d^5 + 6b^5 - 8. This problem explores key algebraic concepts like the degree of a term and the highest degree in a polynomial. Suitable for students in Grades 8-10.

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