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Polynomial Magic Trick


1. Pick any polynomial you like with integer coefficients. - For now, keep it simple: use single digit coefficients, and keep the degree under 10. 2. Evaluate your polynomial at the input 23. Put your answer in the "output" box. Did I guess your polynomial? If so, how? If not, please send your polynomial to 3. Play around with different inputs besides 23. - Can you think of two different polynomials that agree on a smaller input? - If you violate my "keep it simple" rules above, can you find two different polynomials  that agree on input 23?