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Question-144300




Question Number 144300 by mathdanisur last updated on 24/Jun/21
Answered by Rasheed.Sindhi last updated on 25/Jun/21
(x+1)^(2n+1) −a^(2n+1) =x(x+1)Q(x)+ux+v  For x∈Z  For x=0  1−a^(2n+1) =v  For x=−1  −a^(2n+1) =−u+v  −a^(2n+1) =−u+1−a^(2n+1)   −u+1=0⇒u=1  R(x)=ux+v=(1)x+1−a^(2n+1)              =x+1−a^(2n+1)
(x+1)2n+1a2n+1=x(x+1)Q(x)+ux+vForxZForx=01a2n+1=vForx=1a2n+1=u+va2n+1=u+1a2n+1u+1=0u=1R(x)=ux+v=(1)x+1a2n+1=x+1a2n+1
Commented by mathdanisur last updated on 25/Jun/21
thanks Sir cool
thanksSircool

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