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Formation of a Quadratic Equation From It's Roots

If α, β, γ ar...

Question

If α, β, γ are are the zeros of the polynomial f(x) = x³ − px² + qx − r, then $\frac{1}{αβ} + \frac{1}{βγ} + \frac{1}{γα} =$

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Solution

We have to find the value of

Given be the zeros of the polynomial

Now we calculate the expression

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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