SOLUTION: n=4 -1,4 and 4+3 i are zeros f(1)=-216 f(x)=?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: n=4 -1,4 and 4+3 i are zeros f(1)=-216 f(x)=?      Log On


   

Question 1134865: n=4
-1,4 and 4+3 i are zeros
f(1)=-216
f(x)=?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Very similar to the other one.
The two complex zeros are 4+3i AND 4-3i. Together they make a quadratic factor in the function:

%28x-%284%2B3i%29%29%28x-%284-3i%29%29
%28x-4-3i%29%28x-4%2B3i%29
%28%28x-4%29-3i%29%28%28x-4%29%2B3i%29
%28x-4%29%5E2-%283i%29%5E2
%28x-4%29%5E2%2B9
x%5E2-8x%2B16%2B9
x%5E2-8x%2B25
You should be able to do all the rest.