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; 2 and 5 i are zeros; f(- 1) = - 156 f(x) = (Type an expression using x as the variable. Simplify your answer.)

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Author:Erwin Kreyszig
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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;
2 and 5 i are zeros;
f(- 1) = - 156
f(x) =
(Type an expression using x as the variable. Simplify your answer.)
Transcribed Image Text: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; 2 and 5 i are zeros; f(- 1) = - 156 f(x) = (Type an expression using x as the variable. Simplify your answer.)
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