# Polynomial Function

Algebra Level 3

A third-degree polynomial $$P(x)$$, satisfies $$P(0)= -3$$ and $$P(1)= 4$$. When $$P(x)$$ is divided by $$x^{2}+ x+ 1$$, the remainder is $$2x -1$$. What is the quotient when $$P(x)$$ is divided by $$x^2 + x + 1$$?

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