Alice and Bob playing with polynomials
Source: STEMS Mathematics 2023 Category B P2
January 8, 2023
algebrapolynomial
Problem Statement
Alice has one variable quadratic polynomials written on paper she keeps secret from Bob. On each move, Bob announces a real number and Alice tells him the value of one of her polynomials at this number. Prove that there exists a constant such that after questions, Bob can determine one of Alice’s polynomials.Proposed by Rohan Goyal and Anant Mudgal