SOLUTION: a polynomial with a real coeficients that has a complex imaginary sero 2i?

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 Click here to see ALL problems on Equations Question 465666: a polynomial with a real coeficients that has a complex imaginary sero 2i?Found 2 solutions by tinbar, solver91311:Answer by tinbar(128)   (Show Source): You can put this solution on YOUR website!f(x) = a(x-2i) where a is a Real number There's an infinite amount of answers to this question, just see what conditions my example satisfies and make your own. Answer by solver91311(16897)   (Show Source): You can put this solution on YOUR website! The actual complex number for the given zero is , but we know that complex roots ALWAYS come in conjugate pairs, which is to say if is a root, then is also a root -- guaranteed. So our required polynomial has at least three factors, some constant and then the two complex factors: and A little FOIL keeping in mind that and the distributive property gets us to: which is the family of polynomial functions of least degree that have as a zero. John My calculator said it, I believe it, that settles it