(12) Let f(x) = 17x5 + 3x + 2x +9 and g(x) = x³ + 2x -1.(b) Compute the quotient and remainder when f(x) is divided by g(x) inthe ring Z/7Z.1

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Answered: (12) Let f(x) = 17x5 + 3x + 2x +9 and…

(12) Let f(x) = 17x5 + 3x + 2x +9 and g(x) = x³ + 2x - 1. (b) Compute the quotient and remainder when f(r) is divided by g(x) in the ring Z/7Z.

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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Question

(12) Let f(x) = 17x5 + 3x + 2x +9 and g(x) = x³ + 2x -1.
(b) Compute the quotient and remainder when f(x) is divided by g(x) in
the ring Z/7Z.
1

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I don't understand why the quotient=3x^2+3x+1 and remainder=4x^2+3x+3. I think there is a mistake. The quotient should be 3x^2+3x-6 and the remainder should be 4x^2+3x-4. Please explain. Thank you.

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