ASU 242 All Soviet Union MO 1977 game x^{10} + ?x^9 + ?x^8 + ... + ?x + 1
Source:
July 6, 2019
game strategypolynomialalgebra
Problem Statement
The polynomial is written on the blackboard. Two players substitute (real) numbers instead of one of the question marks in turn. ( turns total.) The first wins if the polynomial will have no real roots. Who wins?