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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