150 Followers Question

Algebra Level 3

Let \(P(x) = x^{5}+ax^{4}+bx^{3}+cx^{2}+dx+e\) be a polynomial with real coefficients and satisfying the property \(P(n) = 10n\) for \(n = 1, 2, 3, 4,\) and \(5\). Find the value of \(a + b + c + d + e.\)

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