SOLUTION: Form a third-degree polynomial function with real coefficients such that -6+i and -4 are zeros.

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Question 857254: Form a third-degree polynomial function with real coefficients such that -6+i and -4 are zeros.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complex roots always come in complex conjugate pairs.
f%28x%29=%28x-%28-6%2Bi%29%29%28x-%28-6-i%29%29%28x%2B4%29
f%28x%29=%28x%5E2%2B12x%2B37%29%28x%2B4%29
f%28x%29=x%5E3%2B16x%5E2%2B+85x%2B+148