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Viluxent Set 1 Paper 1 · Q9

Paper 1Number & counting

Let P(x)=1+2x+3x2+4x3+⋯+3000x2999P(x)=1+2x+3x^2+4x^3+\cdots+3000x^{2999}. Find the remainder when P(x)P(x) is divided by x2−x+1x^2-x+1.

A3000x3000x
B−3000x-3000x
C3000x−13000x-1
D−3000x+1-3000x+1
E1500x1500x
F−1500x−1-1500x-1

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