https://file.aiquickdraw.com/mathbot/file/1728875647205y8adu7qt.jpg

The given polynomial is:

\[
8x + 9 - 6x^3 + x^2
\]

To write it in standard form, we need to arrange the terms in decreasing order of the powers of \(x\). The standard form should have the term with the highest degree (the largest exponent) first, followed by lower-degree terms.

Rearranging the terms in descending order of powers of \(x\):

\[
-6x^3 + x^2 + 8x + 9
\]

Now, let's match this with the options:

- The correct option is the one that says: **"-6x^3 + x^2 + 8x + 9"** (orange box).

Would you like more details on how this works, or do you have other questions?

Here are five related questions:
1. How do you determine the degree of a polynomial?
2. What is the difference between standard form and expanded form of polynomials?
3. How do you add or subtract polynomials?
4. Can you explain what makes a polynomial a "monomial," "binomial," or "trinomial"?
5. How do you factor polynomials?

**Tip**: Always arrange polynomial terms by descending degree for clarity in standard form!

Write polynomial in standard form: 8x + 9 - 6x^3 + x^2

Learn how to write the polynomial 8x + 9 - 6x^3 + x^2 in standard form. The solution involves rearranging terms based on their degree to get -6x^3 + x^2 + 8x + 9. Suitable for students in Grades 8-10.

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