When x+x^{1998}+x^{1999}+x^{2000}+x^{2001} is divided by x^{3}-x, find the remainder Please help
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Hi, Let your polynomial be p(x). Then p(x)=(x^{3}-x)q(x) + ax^{2} + bx + c where a, b and c are unknowns to be determined. Evaluate this equation at x=0, 1 and -1. You should then be able to find the unknowns.
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