ALGEBRA
posted by gigi
Find a degree 3 polynomial with real coefficients having zeros
2 and 43i and a lead coefficient of 1.

Steve
if the coefficients are real, then the complex roots occur in pairs. So, our polynomial is
(x2)(x(43i))(x(4+3i))
(x2)((x4)+3i)((x4)3i)
(x2)((x4)^2+3^2)
...
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