If $30 x^{3} + 45 x^{2} - 10 x$ is divided by $5 x$ , find the resulting coefficient of $x$

6

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9

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25

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40

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Solution

The correct option is B $9$

The value of $\frac{30 x^{3} + 45 x^{2} - 10 x}{5 x}$
$=$ $\frac{5 x (6 x^{2} + 9 x - 10)}{5 x}$
$=$ $6 x^{2} + 9 x - 10$
In resultant equation, coefficient of $x$ is $9$ .

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