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
B
4
C
-2
D
-4

Solution

## The correct option is C 4The 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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