Polynomial Magic Trick
- Brad Ballinger
- Algebra, Numbers, Polynomial Functions
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 firstname.lastname@example.org. 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?