Question:
Suppose that we are given a monic quadratic polynomial . Prove that for any integer n, there exists an integer k such that
.
š š š
Solution:
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.
Nalin Pithwa
PS: I will post the solution after some time. Meanwhile, please try.