A polynomial is defined by \(f(x + 1) = x^{3} + px^{2} - 4x + 2\), find f(2).
Given: \(f(x + 1) = x^{3} + 3x^{2} - 4x + 2\).
\(f(2) = f(x + 1) \implies x + 1 = 2; x = 1\)
\(f(2) = 1^{3} + 3(1)^{2} - 4(1) + 2 = 1 + 3 - 4 + 2 = 2\)
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