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Prove that the Lagrange's fomula can be put in the form ø (x) f (x,) (x- x,) ø' (x,) P„(x) = £ %3D | where ø (x) = II r = 0 *('x -x)

Prove that the Lagrange's fomula can be put in the form ø (x) f (x,) (x- x,) ø' (x,) P„(x) = £ %3D | where ø (x) = II r = 0 *('x -x)

Elements Of Modern Algebra
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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Prove that the Lagrange's formula can be put in the form ø (x) f (x,) P„(x) = £ r= 1 (x- x,) ø' (x,) n where ø (x) = (x- x,). r = 0
Transcribed Image Text:Prove that the Lagrange's formula can be put in the form ø (x) f (x,) P„(x) = £ r= 1 (x- x,) ø' (x,) n where ø (x) = (x- x,). r = 0
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