Suppose that we are given a monic quadratic polynomial . Prove that for any integer n, there exists an integer k such that .
🙂 🙂 🙂
Let and which implies . We want . By trial and error, we get .
By the way, we could have gotten the same solution by method of undetermined coefficients. But that would also need intelligent guess-works.
PS: I will post the solution after some time. Meanwhile, please try.