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(52908)   (Show Source):
You can put this solution on YOUR website! .
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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