1- Write the expression x* +x³ + 3x² – 3x – 4 in the of Legendre polynomials.2- Find the value of integrals(i) Sº.(ii) S":dtdx.(1+t?)6 '

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Answered: 1- Write the expression x* +x³ + 3x² –…

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1- Write the expression x* +x³ + 3x² – 3x – 4 in the of Legendre polynomials

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter5: Rings, Integral Domains, And Fields

Section5.4: Ordered Integral Domains

Problem 5E: 5. Prove that the equation has no solution in an ordered integral domain.

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Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.

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1- Write the expression x* +x³ + 3x² – 3x – 4 in the of Legendre polynomials.
2- Find the value of integrals
(i) Sº.
(ii) S":
dt
dx.
(1+t?)6 '

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