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Zeroes of a Polynomial

If α, β are...

Question

If $α, β$ are the zeroes of the quadratic polynomial
$f (x) = x^{2} - p x + q$ , then $\frac{1}{α} + \frac{1}{β} =$

p-q

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p+q

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\frac{p}{q}

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\frac{q}{p}

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Solution

The correct option is C $\frac{p}{q}$
$α + β = p, α β = q$
$∴ \frac{1}{α} + \frac{1}{β} = \frac{α + β}{α β} = \frac{p}{q}$

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