Let's simplify the expression:

\[
-9x - x^3 + 9 + 4x^2 - 2x^4 + x^5
\]

### Step-by-step simplification:

1. **Arrange terms in descending order of powers of \( x \):**

\[
x^5 - 2x^4 + 4x^2 - x^3 - 9x + 9
\]

2. **There are no like terms to combine.**

Thus, the simplified form of the expression is:

\[
x^5 - 2x^4 - x^3 + 4x^2 - 9x + 9
\]

This is the fully simplified form of the expression.

Do you have any questions or want more details?

### Related Questions:
1. How would you factor the expression \(x^5 - 2x^4 - x^3 + 4x^2 - 9x + 9\)?
2. What is the derivative of this polynomial with respect to \(x\)?
3. How would the graph of this polynomial look like?
4. What are the critical points of the function defined by this polynomial?
5. How would you solve \(x^5 - 2x^4 - x^3 + 4x^2 - 9x + 9 = 0\)?

### Tip:
When simplifying polynomials, always arrange terms in descending powers of the variable to ensure clarity and correctness.

Learn how to simplify the polynomial expression -9x - x^3 + 9 + 4x^2 - 2x^4 + x^5 by arranging terms in descending order of powers of x. This detailed step-by-step explanation helps students in Grades 9-12 master polynomial simplification.

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