Polynomial Differential Equation

Calculus Level 3

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

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

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