SOLUTION: f(x) is a polynomial function of degree 3 whose coefficients are real numbers; its zeros are 4+i, 4-i, and 2+i.

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Question 1186648: f(x) is a polynomial function of degree 3 whose coefficients are real numbers; its zeros are 4+i, 4-i, and 2+i.
Answer by ikleyn(52910)   (Show Source): You can put this solution on YOUR website!
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f(x) is a polynomial function of degree 3 whose coefficients are real numbers; its zeros are 4+i, 4-i, and 2+i.
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As described,  such a polynomial  DOES  NOT  exist.

Two roots are conjugated,  but the third root is not a real number.

The third root is a complex number,  which has no conjugate pair to make a polynomial with real coefficients.

This problem is a  FAKE.


In addition,  since a question absents in the post,  it can not be called  "Math problem",  at all.


It is an essay / dream / cry about a non-existing polynomial, in encrypted form.



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