# Plugging Roots into Functions

Algebra Level 5

Given that $$a$$, $$b$$, $$c$$, and $$d$$ are the (not necessarily distinct) roots of the expression $$x^4-x^3-x^2-x-1$$, find $$p(a)+p(b)+p(c)+p(d)$$ if $$p(x)=x^6-x^5-x^3-x^2-x - 1$$.

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