Remainder of polynomial division

  • #1
songoku
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Homework Statement
Find the remainder when ##x^{2017} + 1## is divided by ##(x-1)^2##
Relevant Equations
Remainder Theorem
##x^{2017} + 1 = Q(x) . (x-1)^2 + ax + b## where ##Q(x)## is the quotient and ##ax+b## is the remainder

##x=1 \rightarrow 2 =a+b##

Then how to proceed?

Thanks
 
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  • #2
If in doubt differentiate.
 
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  • #3
Thank you very much PeroK
 

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