SOLUTION: Find an nth-degree polynomial function with real coefficients satisfying the given conditions. n=3 4 and 4 i are zeros; f(1)= -102

Question 1161653: Find an nth-degree polynomial function with real coefficients satisfying the given conditions.
n=3
4 and 4 i are zeros;
f(1)= -102
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
given :
->degree
zeros:

-> complex solutions always come in pairs, so you also have

then, use given

to calculate

so, your equation is:

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SOLUTION: Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions. n=3 4 and 4 i are​ zeros; f(1)= -102