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Choose the cubic polynomial whose zeros are −2, 3 , and 5 is

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$p^{3} - 6 p^{2} - p + 30$

$x^{3} + 6 x^{2} - x - 30$

$x^{3} - 6 x^{2} + x - 30$

answer is A.

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Detailed Solution

$= (x + 2) (x - 3) (x - 5)$

$= (x^{2} - 3 x + 2 x - 6) (x - 5)$

$= (x^{2} - x - 6) (x - 5)$

$= x^{3} - 5 x^{2} - x^{2} + 5 x - 6 x + 30$

$= x^{3} - 6 x^{2} - x + 30$

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