If (3 - 2i) is a solution to a polynomial equation, is the complex conjugate, 3 + 2i, also a solution?

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Answer 1 · 2016-01-11T19:52:10

Possibly

Only if the coefficients are real.

Answer 2 · 2016-01-11T19:53:57

yes.

if the complex number a + bi is a solution to the polynomial equation then so is the complex conjugate a - bi.