# 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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