Let's analyze the polynomial $x^8 - x^3$.

1. Coefficient of each term:

   • For $x^8$, the coefficient is 1.
   • For $-x^3$, the coefficient is -1.

2. Degree of each term:

   • The term $x^8$ has a degree of 8.
   • The term $-x^3$ has a degree of 3.

3. Degree of the polynomial: The degree of a polynomial is the highest degree of its terms. Therefore, the degree of the polynomial is 8.

4. Leading term: The leading term is the term with the highest degree, which is $x^8$.

5. Leading coefficient: The coefficient of the leading term is 1.

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Answer for Part 1: The coefficient of the term $x^8$ is 1.

Would you like details on any part of this explanation, or do you have any other questions?

Here are some related questions you might consider:

1. What is the constant term in a polynomial?
2. How do you find the degree of a polynomial function?
3. What is the importance of the leading coefficient in determining the end behavior of a polynomial?
4. How do you identify the leading term in a polynomial expression?
5. Can the degree of a polynomial be negative?
6. How do you determine if a polynomial is a monomial, binomial, or trinomial?
7. What is the difference between a term and a factor in a polynomial?
8. How do you factorize a polynomial?

Tip: When identifying the leading term and coefficient, always arrange the polynomial in descending order of degree.