Thread: theory of equation

When x+x¹⁹⁹⁸+x¹⁹⁹⁹+x²⁰⁰⁰+x²⁰⁰¹ is divided by x³-x, find the remainder


Please help

Hi,
Let your polynomial be p(x). Then p(x)=(x³-x)q(x) + ax² + 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.