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Formation of a Quadratic Equation From It's Roots

If zeros of t...

Question

If zeros of the polynomial f(x) = x³ − 3px² + qx − r are in A.P., then

(a) 2p³ = pq − r
(b) 2p³ = pq + r
(c) p³ = pq − r
(d) None of these

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Solution

Let be the zeros of the polynomial then

Since a is a zero of the polynomial

Therefore,

Substituting .we get

Hence, the correct choice is

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Formation of a Quadratic Equation From It's Roots

Standard X Mathematics

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