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Let f(x) = x^3 + ax^2 + bx+ c be a cubic...

Let `f(x) = x^3 + ax^2 + bx+ c` be a cubic polynomial with real coefficients and all real roots. Also `|f(iota| = 1` where `iota = sqrt(-1)` Statement-1: All 3 roots of `f (x) = 0` are zero. Statement-2: `a + b + c = 0`

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