- Thread starter
- Admin
- #1

- Jan 26, 2012

- 4,198

-----

Show that for each positive integer $n$, all the roots of the polynomial

\[

\sum_{k=0}^n 2^{k(n-k)} x^k

\]

are real numbers.

-----

Remember to read the POTW submission guidelines to find out how to submit your answers!