Question: A cubic polynomial with real coefficients p(z) = z^3 + az^2 + bz + c is factored as (z z1)(z z2)(z z3). Prove that at

A cubic polynomial with real coefficients p(z) = z^3 + az^2 + bz + c is factored as (z z1)(z z2)(z z3).

Prove that at least one of the complex numbers z1,z2 and z3 must be real.

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