Polynomial Function

Algebra Level 3

A third-degree polynomial P(x)P(x), satisfies P(0)=3P(0)= -3 and P(1)=4P(1)= 4. When P(x)P(x) is divided by x2+x+1 x^{2}+ x+ 1, the remainder is 2x12x -1. What is the quotient when P(x)P(x) is divided by x2+x+1x^2 + x + 1 ?

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