If the sum of two roots of the equation $x^{3} - 3 x^{2} + k x + 48 = 0$ is zero, then $k =$

16

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- 16

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24

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- 24

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Solution

The correct option is B $- 16$
Sum of two roots is zero. Using this we get the other root as $3$
Substitute $x = 3$ and equating to zero we get, $k = - 16$

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