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Divide:

[tex]\frac{-8x^{11} - 4x^{10} + 2x^9}{2x^9}[/tex]

Answer :

Sure! Let's go through the steps to divide the given expression:

We need to divide the expression [tex]\(\frac{-8x^{11} - 4x^{10} + 2x^9}{2x^9}\)[/tex].

Step 1: Understand the problem

We are dividing a polynomial in the numerator by a single term in the denominator. To divide, we'll perform division separately on each term in the numerator by the denominator term.

Step 2: Divide each term

- For the first term, [tex]\(-8x^{11}\)[/tex]:
[tex]\[
\frac{-8x^{11}}{2x^9} = -4x^{11-9} = -4x^2
\][/tex]

- For the second term, [tex]\(-4x^{10}\)[/tex]:
[tex]\[
\frac{-4x^{10}}{2x^9} = -2x^{10-9} = -2x
\][/tex]

- For the third term, [tex]\(2x^9\)[/tex]:
[tex]\[
\frac{2x^9}{2x^9} = 1
\][/tex]

Step 3: Combine the results

The resulting expression from dividing each term is:
[tex]\[
-4x^2 - 2x + 1
\][/tex]

So, the final result of the division is [tex]\(-4x^2 - 2x + 1\)[/tex].

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