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Find remainder

Algebra Level 4

What is the remainder when $x^{2016}$ is divided by $(x-1)(x-2)$ ?

0

(2^{2016}-3)x -2+2^{2016}

(2^{2016}-1)x +2-2^{2016}

(2^{2016})x +2-2^{2014}

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by Sundara Karthik

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