SOLUTION: How do i find a polynomial of least degree with only rea coefficients and having the given zeros 2-i, -6

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Question 980528: How do i find a polynomial of least degree with only rea coefficients and having the given zeros 2-i, -6
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
How do i find a polynomial of least degree with only rea coefficients and having the given zeros 2-i, -6
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If 2-i is a zero, then 2+i is also.
--> (x-2-i)*(x-2+i)*(x+6)
--> (x^2 - 4x + 5)*(x+6)
= x^3 + 2x^2 - 19x + 30