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If  α, β  and  γ  are the zeros of the polynomial  2x3 − 6x2 − 4x + 30 . then the value of  (αβ + βγ + γα)  isSelect an answerA–2B2C5D–30

Question

If  α, β  and  γ  are the zeros of the polynomial  2x3 − 6x2 − 4x + 30 . then the value of  (αβ + βγ + γα)  isSelect an answerA–2B2C5D–30

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Solution

The value of (αβ + βγ + γα) for a polynomial ax^3 + bx^2 + cx + d is given by -c/a.

In the given polynomial 2x^3 - 6x^2 - 4x + 30, a = 2 and c = -4.

So, (αβ + βγ + γα) = -(-4)/2 = 2.

Therefore, the correct answer is B. 2.

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