2.0 Algebra

Let \(P(x) = x^4 + ax^3 + bx^2 + cx + d\) be a polynomial with real coefficients. If \(P(1) = 0\), \(P(2) = 0\), and \(P(3) = 0\), and the sum of the roots of \(P(x)\) is 10, find the value of \(d\).

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