SOLUTION: Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions. n=3 -3 and 4 + 4i are zeros f(-1)=82

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Question 1039294: Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions.
n=3
-3 and 4 + 4i are zeros
f(-1)=82
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Real coefficients and one complex root means the complex conjugate is also a root.
f%28x%29=a%28x%2B3%29%28x-%284%2B4i%29%29%28x-%284-4i%29%29
f%28x%29=a%28x%2B3%29%28x%5E2-8x%2B32%29
f%28-1%29=a%28-1%2B3%29%281%2B8%2B32%29=82
a%282%29%2841%29=82
a=1
.
.
.
f%28x%29=%28x%2B3%29%28x%5E2-8x%2B32%29
or
f%28x%29=x%5E3-5x%5E2%2B8x%2B96