Remainder

Algebra Level 3

If the polynomial \( P(x)={ x }^{ 9 }-{ x }^{ 6 }+{ x }^{ 3 }-1 \) leaves \(r(x)\) as remainder when divided by \(d(x)={ x }^{ 2 }+x+1\), then, evaluate \(r(2015)\).


Inspiration: Preparatory Classes to the Technological Institute of Aeronautics (ITA - Brazil).
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