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Question

If the sum of the zeroes of the polynomial $$f(x) = 2x^3 - 3kx^2 + 4x - 5$$ is 6, then the value of k is


A
2
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B
4
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C
-2
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D
-4
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Solution

The correct option is C 4
The sum of the zeroes of the equation $$ax^{3}+bx^{2}+cx+d$$ is $$-b/a$$
Here the equation is $$2x^{3}-3kx^{2}+4x-5$$
$$\Rightarrow$$ Sum of roots$$=3k/2$$
$$\Rightarrow$$ $$3k/2=6$$
$$\Rightarrow$$ $$k=4$$
Therefore,Option B is correct.

Mathematics

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