SOLUTION: n=3, 3 and 4i are zeros ;f(2)=-60 . solve for f(x).

SOLUTION: n=3, 3 and 4i are zeros ;f(2)=-60 . solve for f(x).

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Question 1086462: n=3, 3 and 4i are zeros ;f(2)=-60 . solve for f(x).
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
if 4i is a zero, so is -4i
then x^2+16 is a factor
and (x-3)^2 is a factor with multiplicity 2.
f(x)=a(x^2+16)(x-3)^2
f(2)=-60=a(20)(1)
20a=-60
a=-3
f(x)=-3(x^2+16)(x-3)^2

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