b) Let {(-2,–6), (–1,5),(0,4),(1,3)} and {(-2,–18), (-1,–7),(0,–4), (1,–3)} be the point-value representations of two polynomials f(x) and g(x). Find the point-value representation of h(x) = f(x)+g(x). From the point value representation of h(x) find the coefficient representation of h(x).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

Please solve 9b

9) X
Find all the solutions of the equation 7x = 28 (mod 119).
b) Let {(-2,–6), (–1,5),(0,4),(1,3)} and {(-2,–18), (-1,–7),(0,-4), (1, –3)} be the point-value
representations of two polynomials f(x) and g(x). Find the point-value representation of
h(x) = f(x)+g(x). From the point value representation of h(x) find the coefficient
representation of h(x).
Compute the DFT of the vector (-3, 1,1,–1).
Transcribed Image Text:9) X Find all the solutions of the equation 7x = 28 (mod 119). b) Let {(-2,–6), (–1,5),(0,4),(1,3)} and {(-2,–18), (-1,–7),(0,-4), (1, –3)} be the point-value representations of two polynomials f(x) and g(x). Find the point-value representation of h(x) = f(x)+g(x). From the point value representation of h(x) find the coefficient representation of h(x). Compute the DFT of the vector (-3, 1,1,–1).
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