# An algebra problem by Anand Raj

**Algebra**Level 2

Written on a blackboard is the polynomial \[{ x }^{ 2 }+x+2014\] Calvin and Hobbes take turns alternatively (starting with Calvin) in the following game. During his turn, Calvin should either increase or decrease the **coefficient of x** by 1. And during his turn, Hobbes should either increase or decrease the **constant coefficient** by 1. If Calvin wins if at any point of time the polynomial on the blackboard at that instant has integer roots, then Who Has A Winning Strategy?

**Your answer seems reasonable.**Find out if you're right!

**That seems reasonable.**Find out if you're right!

Already have an account? Log in here.