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PrecalculusSuperchallenge

Precalculus · Superchallenge problem

A polynomial p(x)p(x) satisfies p(1)=2p(1)=2, p(2)=1p(2)=1, and p(3)=6p(3)=6. Find the remainder when p(x)p(x) is divided by (x−1)(x−2)(x−3)(x-1)(x-2)(x-3).

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