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

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6

9

25

40

answer is B.

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Detailed Solution

Give that,

30 x^{3} + 45 x^{2} - 10 x

is divided by

5 x

The given expression is written as,

= \frac{30 x^{3} + 45 x^{2} - 10 x}{5 x}

Take out the common factor

5 x

from all terms in numerator.

\frac{30 x^{3} + 45 x^{2} - 10 x}{5 x} =

\frac{5 x (6 x^{2} + 9 x - 10)}{5 x}

\frac{30 x^{3} + 45 x^{2} - 10 x}{5 x} =

6 x^{2} + 9 x - 10

The coefficient of x is 9.
Therefore, option 2 is correct.

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