SOLUTION: Find a polynomial equation with real coefficients that has the roots -3 and 4i.

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Question 1038292: Find a polynomial equation with real coefficients that has the roots -3 and 4i.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
If 4i is a root of a polynomial with real coefficients, then so is its complex conjugate, which is -4i.

Then an example of a degree-3 polynomial with roots -3, 4i, and -4i is (x-3)(x-4i)(x+4i). Note that this is not the only such polynomial.