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------------------------------------------------ Which of the expressions is [tex]$4x - 9 + 7x^2 - 8x^3$[/tex] rewritten in standard form?

A. [tex]-8x^3 + 7x^2 + 4x - 9[/tex]

B. [tex]-9 + 4x + 7x^2 - 8x^3[/tex]

C. [tex]7x^2 - 8x^3 + 4x - 9[/tex]

D. [tex]8x^3 - 7x^2 + 4x - 9[/tex]

To rewrite the expression [tex]$4x - 9 + 7x^2 - 8x^3$[/tex] in standard form, we need to arrange the terms in order of decreasing powers of [tex]$x$[/tex]. Here's how you do it:

1. Identify the Terms: Begin by taking note of each term:
- [tex]$ -8x^3 $[/tex]
- [tex]$ 7x^2 $[/tex]
- [tex]$ 4x $[/tex]
- [tex]$ -9 $[/tex]

2. Order by Power of [tex]$x$[/tex]: List these terms starting with the highest power of [tex]$x$[/tex] down to the constant:
- The term with [tex]$x^3$[/tex] is [tex]$ -8x^3 $[/tex].
- The term with [tex]$x^2$[/tex] is [tex]$ 7x^2 $[/tex].
- The term with [tex]$x$[/tex] is [tex]$ 4x $[/tex].
- The constant term is [tex]$ -9 $[/tex].

3. Write the Polynomial in Standard Form: Place the terms in descending order of power:
[tex]\[
-8x^3 + 7x^2 + 4x - 9
\][/tex]

Now, let's match this with the given options:

- Option 1: [tex]$-8x^3 + 7x^2 + 4x - 9$[/tex]

This rearranged expression in standard form matches Option 1. Therefore, the correct expression in standard form is:

[tex]$-8x^3 + 7x^2 + 4x - 9$[/tex]