Prove the binomial theorem over any ring R. That is for any a, b E R and positive integer n ≥ 1, ("^)œ³v¹~². abn-i (a + b)² = [ (",) a² You may use the indentity (=))+ ( )=() - j for any j = 0, 1, 2,..., n.
Prove the binomial theorem over any ring R. That is for any a, b E R and positive integer n ≥ 1, ("^)œ³v¹~². abn-i (a + b)² = [ (",) a² You may use the indentity (=))+ ( )=() - j for any j = 0, 1, 2,..., n.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.3: Factorization In F [x]
Problem 6E: Prove Corollary 8.18: A polynomial of positive degree over the field has at most distinct zeros...
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