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Let's start by solving the first part of the exercise, which asks to find the degree of each polynomial.

### 1. Find the degree of each of the following polynomials:
- **a.** \( 3x^2 + 12x - 1 \)

   - The degree of a polynomial is the highest power of \( x \). Here, the highest power is \( 2 \) (from \( 3x^2 \)).
   - **Degree:** \( 2 \)

- **b.** \( 5x^3 + 8 \)

   - The highest power of \( x \) is \( 3 \) (from \( 5x^3 \)).
   - **Degree:** \( 3 \)

For the remaining parts (c through f), we would need the functions \( f(x) \), \( g(x) \), and \( h(x) \) to proceed with the evaluations. Could you provide those functions, or should I assume general forms for them?

Would you like further details on polynomial degrees or have any questions?

Here are 5 related questions for deeper understanding:
1. What is the degree of a constant polynomial like \( h(x) = 7 \)?
2. How do you determine the degree of a polynomial when it's written in factored form?
3. Can a polynomial have a degree of zero?
4. How does the degree of a polynomial affect its graph?
5. What happens to the degree of a polynomial when you multiply two polynomials together?

### Tip:
The degree of a polynomial gives us important information about the behavior of its graph, particularly its end behavior and the number of possible roots (real or complex).

Find the degree of each of the following polynomials and evaluate the given functions.

Learn how to find the degree of polynomials such as 3x^2 + 12x - 1 and 5x^3 + 8, and evaluate functions like f(-1) + g(2). This exercise covers key concepts of polynomial degree and function evaluation, suitable for Grades 9-11.

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