Curious Remainders

Algebra Level 4

A degree 55 polynomial P(x)P(x) has the property that the remainder when P(x)P(x) is divided by (x−a)(x-a) is aa for a=1→5a=1\rightarrow 5. If P(0)=−1P(0)=-1, find the value of P(12)P(12).

Daniel Liu by Daniel Liu
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