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If alpha, beta, gamma be the zeros of th...

If `alpha, beta, gamma` be the zeros of the polynomial p(x) such that `(alpha+beta+gamma) = 3, (alpha beta+beta gamma+gamma alpha) =- 10 and alpha beta gamma =- 24 ` then p(x) = ?

A

`x^(3)+3x^(2)-10x+24`

B

`x^(3)+3x^(2)+10x-24`

C

` x^(3) - 3x^(2) - 10x + 24`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
` p(x) = x^(3) -(alpha+beta+gamma) x^(2) + (alpha beta+beta gamma+gamma alpha) x - alpha beta gamma`
` = x^(3) - 3x^(2) - 10x + 24.`
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Knowledge Check

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