SOLUTION: n=3; 4 and 4i are zeros; f (2)= -80

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Question 890019: n=3;
4 and 4i are zeros;
f (2)= -80

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
n=3;
4 and 4i are zeros;
f (2)= -80
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If 4i is a zero, so is -4i
--> (x-4)*(x-4i)*(x+4i) = 0
(x-4)*(x^2+4) = 0
x%5E3+-+4x%5E2+%2B+4x+-+16+=+0
f(2) = 8 - 16 + 8 - 16 = -16
-80/-16 = 5
Multiply by 5
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--> 5x%5E3+-+20x%5E2+%2B+20x+-+80+=+0