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; -4 and 3+5i are zeros; f (1) = 145 f(x) = (Type an expression using x as the variable. Simplify your answer.)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.CR: Chapter Review
Problem 61E
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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;
-4 and 3+5 i are zeros;
f (1) = 145
...
f(x) =O
%3D
(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; -4 and 3+5 i are zeros; f (1) = 145 ... f(x) =O %3D (Type an expression using x as the variable. Simplify your answer.)
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