If $α, β, γ$ be the zeroes of the cubic polynomial $a x^{3} + b x^{2} + 4 x + 7 = 0$ , then the value of $α β + β γ + γ α =$ ________.

-4

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\frac{4}{a}

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- \frac{4}{a}

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Solution

The correct option is B $\frac{4}{a}$
For the polynomial $a x^{3} + b x^{2} + c x + d$ the sum of the roots taken two at a time= $c / a$ .
Here the polynomial is $a x^{3} + b x^{2} + 4 x + 7$
Therefore,sum of two roots taken at a time= $\frac{4}{a}$
Therefore,Option B is correct.

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