is the cubic polynomial whose zeroes are 2, - 3 and 4.

x^{3} - 3 x^{2} - 10 x + 24

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x^{3} - x^{2} - x + 2

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x^{3} + x^{2} + x

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Solution

The correct option is A $x^{3} - 3 x^{2} - 10 x + 24$
If a, b and c are the zeroes of a cubic polynomial f(x), then
$f (x) = x^{3} - (a + b + c) x^{2} + (a b + b c + c a) x - (a b c)$
Thus, the required polynomial is:
$x^{3} - (3) x^{2} + (- 10) x - (- 24)$
$= x^{3} - 3 x^{2} - 10 x + 24$

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