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 = 4; -1, 3, and 2 + 3i are zeros; f(1) = -80 16 5 x4-6x³ +7x² +38x-15) (xª_ 3 f(x) = (Type an expression using x as the variable. Simplify your answer.)
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 = 4; -1, 3, and 2 + 3i are zeros; f(1) = -80 16 5 x4-6x³ +7x² +38x-15) (xª_ 3 f(x) = (Type an expression using x as the variable. Simplify your answer.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 = 4;
-1, 3, and 2 + 3i are zeros;
f(1) = -80
16
5
(xª
3
x4-6x³ +7x² +38x-15)
f(x) =
(Type an expression using x as the variable.
Simplify your answer.)
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