Exercise 47 -such that po(-1) = 1, po(0) = -1 and po(1) = -1.(b) Show that a polynomial q(2) E P(R) such that q(-1) = q(0) = q(1) = 0 is divisibleby 2(c) Find all polynomials p E P(R) (any degree) such that p(-1) = 1, p(0)p(1) = -1.(a) Show that there exists a unique polynomial po of degree < 2%3D-2.= -1 and

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Exercise 47 (a) Show that there exists a unique polynomial po of degree < 2 such that po(-1) = 1, po(0) = -1 and po(1) = -1. (b) Show that a polynomial q(2) E P(R) such that q(-1) = q(0) = q(1) = 0 is divisible by z (c) Find all polynomials p E P(R) (any degree) such that p(-1) = 1, p(0) P(1) = -1. %3D -2. = -1 and

Exercise 47 (a) Show that there exists a unique polynomial po of degree < 2 such that po(-1) = 1, po(0) = -1 and po(1) = -1. (b) Show that a polynomial q(2) E P(R) such that q(-1) = q(0) = q(1) = 0 is divisible by z (c) Find all polynomials p E P(R) (any degree) such that p(-1) = 1, p(0) P(1) = -1. %3D -2. = -1 and

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

Exercise 47 -
such that po(-1) = 1, po(0) = -1 and po(1) = -1.
(b) Show that a polynomial q(2) E P(R) such that q(-1) = q(0) = q(1) = 0 is divisible
by 2
(c) Find all polynomials p E P(R) (any degree) such that p(-1) = 1, p(0)
p(1) = -1.
(a) Show that there exists a unique polynomial po of degree < 2
%3D
-2.
= -1 and

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