Divide:
$6 x^{4} - 24 x^{3} + 15 x^{2} + 9$ by $(- 3 x^{2})$

2 x^{3} + 8 x - 5 + \frac{3}{x^{2}}

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- 2 x^{2} + 8 x - 5 - \frac{3}{x^{2}}

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- 2 x^{2} + 8 x - 5 - \frac{8}{x^{2}}

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2 x^{3} + 8 x - 5 - \frac{8}{x^{2}}

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Solution

The correct option is B $- 2 x^{2} + 8 x - 5 - \frac{3}{x^{2}}$
$6 x^{4} - 24 x^{3} + 15 x^{2} + 9 \div (- 3 x^{2})$
$= \frac{6 x^{4}}{- 3 x^{2}} - \frac{24 x^{3}}{(- 3 x^{2})} + \frac{15 x^{2}}{(- 3 x^{2})} + \frac{9}{(- 3 x^{2})}$
$= - 2 x^{2} + 8 x - 5 - \frac{3}{x^{2}}$

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