# Modular Arithmetics for Polynomials

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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