# Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing​ utility, use it to graph the function and verify the real zeros and the given function value.n=33 and 4i are zerosf(-1)=-68

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Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing​ utility, use it to graph the function and verify the real zeros and the given function value.
n=3
3 and 4i are zeros
f(-1)=-68
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Step 1

We write the general form for a 3 degree polynomial function as, From the data provided, since complex roots occur in pairs, 4i and -4i will be the two imaginary roots. Subsitute in the expression for f(x). Step 2

Substitute x=-1 ...

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