Given that $\displaystyle \text{P(x)}\,\equiv{x^4 + x^3 + ax^2 + bx + c}$ where a, b, c are constants. If P(x) $\displaystyle \equiv{(x - 1)^2 Q(x)}$, Q(x) is a polynomial with integer coefficient and P(0) = 2, find the values of a, b, and c.

The answer they gave is a = -3, b = -1 and c = 2 not a=-5, b=3