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S1: If a, b and care positive real numbe...

`S_1: If a, b and c`are positive real numbers, then `ax^3 + bx + c = 0` has exactly one real root `S_2:` If the derivative of an odd cubic polynomial vanishes at two different values of 'X then coefficient of `x and x` in the polynomial must be different in sign. `S_3 : a, b,` care real and `x^3 - 3b^3x + 2c^3` is divisible by `x-a and x-b` if `a = 2b = 2c` `S_4: ` If roots of a cubic equation are not all real, then imaginary roots must be conjugates of each other

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