SOLUTION: Form a third degree polynomial function with real coefficients such that -3+i and -2 are zeros.

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Question 999816: Form a third degree polynomial function with real coefficients such that -3+i and -2 are zeros.
Answer by solver91311(24713) About Me  (Show Source):
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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:



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:

John

My calculator said it, I believe it, that settles it