Written on a blackboard is the polynomial x2+x+2014. Calvin and Hobbes take turns alternately (starting with Calvin) in the following game. At his turn, Calvin should either increase or decrease the coefficient of x by 1. And at this turn, Hobbes should either increase or decrease the constant coefficient by 1. Calvin wins if at any point of time the polynomial on the blackboard at that instant has integer roots. Prove that Calvin has a winning stratergy. quadraticsalgebrapolynomialcalculusintegrationprobabilityanalytic geometry