SOLUTION: Please help! I am having difficulty with this problem: Find an nth degree polynomial function with real coefficients satifying the given conditions: n=3; 4 and 2i are zeros;

Question 395661: Please help! I am having difficulty with this problem:
Find an nth degree polynomial function with real coefficients satifying the given conditions:
n=3; 4 and 2i are zeros; f(-1)=-50
Thank you so much for any help!
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find an nth degree polynomial function with real coefficients satifying the given conditions:
n=3; 4 and 2i are zeros;
Complex solutions occur in conjugate pairs, so -2i is also a zero.
f(n) = (n-3)(n-4)(n-2i)(n+2i)

Multiply those, that's the function.
---------------------
f(-1) = 100
Multiply by -1/2

f(-1)=-50

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