You can break rocks

Algebra Level 4

Let \(f(x)\) be a polynomial such that \( f(a)=f(b)=f(c)=f(d)=3\) where \(a,b,c\), \(d\) are distinct integers. If \(f(e) = 5\), where \(e\) is an integer, then find the value of \(e\). Note: It is a cubic polynomial . Bonus : Solve this problem with a polynomial of an unknown degree .

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