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
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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