Remainder of polynomial division

[songoku]

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

 

[PeroK]

If in doubt differentiate.

 

[songoku]

Thank you very much PeroK