# Do you really believe I am Psychic

Algebra Level 5

I am thinking of a polynomial, $$f(x)$$ with integer coefficients. You can ask me the value of the polynomial at any value of $$x$$ and I will tell you the exact mathematical value. Then you can do this over and over again. What is the minimum number of questions you need to ask to exactly determine what my polynomial is?

Inspiration

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