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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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