SOLUTION: n=3; 3 and 4i are zeros f(1)=-34 Answer: f (x)= ?

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Question 1056142: n=3;
3 and 4i are zeros
f(1)=-34
Answer: f (x)= ?
Found 2 solutions by Fombitz, ewatrrr:
Answer by Fombitz(32388) About Me  (Show Source):
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
3 and 4i are zeros, As well as -4i is a zero
f(x) = a(x-3)(x-4i)(x+4i)
f%28x%29+=+a%28x-3%29%28x%5E2+%2B+16%29
f(1) = a(-2)(17)
a(-2)(17) = -34
a = -34/-34
a = 1
f%28x%29+=+1%28x-3%29%28x%5E2+%2B+16%29 Apply FOIL
f(x) = x^3 -3x^2 + 16x - 48