SOLUTION: Form a third degree polynomial function with real coefficients such that -3+i and -2 are zeros.
Algebra.Com
Question 999816: Form a third degree polynomial function with real coefficients such that -3+i and -2 are zeros.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Complex zeros always come in conjugate pairs, so if 
is a zero, 
must also be a zero.
If 
is a zero of a polynomial, then 
must be a factor of the polynomial. Hence, the factored form of your desired polynomial is:
(x\ -\ (-3\ +\ i))(x\ -\ (-3\ -\ i)))
The only thing you need to do now is to multiply out the three factors and collect like terms. Hint: The product of two conjugates is the difference of two squares: (-3\ -\ i)\ =\ 9\ -\ (-1)\ =\ 10)
John
My calculator said it, I believe it, that settles it
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