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If the zeroes of the polynomial f(x) = ax^3 + 3bx^2 + 3cx + d are in A.P., prove that 2b^3 − 3abc + a^2d = 0

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asked Jan 31, 2018 in Mathematics by sforrest072 (157,439 points)

If the zeroes of the polynomial f(x) = ax³ + 3bx² + 3cx + d are in A.P., prove that 2b³ − 3abc + a²d = 0

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answered Jan 31, 2018 by mdsamim (213,225 points)
selected Jan 31, 2018 by sforrest072

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If the zeroes of the polynomial f(x) = ax^3 + 3bx^2 + 3cx + d are in A.P., prove that 2b^3 − 3abc + a^2d = 0

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