Polynomial Differential Equation

Calculus Level 3

If \(f(x)\) is a polynomial such that \[f(x) = f'(x) + \left(x+2\right)^2 \; ,\] what is \(f(1)?\)

Clarification: \( f'(x) \) denotes the first derivative of the function \(f(x) \).

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