**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.

### Like this:

Like Loading...

*Related*