Problem of the Month
- Everyone is welcome to participate, but only undergraduate OU students are eligible for the prizes.
- At the end of the academic year, a prize will be awarded to the undergraduate OU students with the most correct solutions.
- A complete solution to the problem must include a proof.
- Solutions to the Problem of the Month can be submitted in the Math Department's office (PHSC 423), or via email to nickmbmiller [at] ou [dot] edu
- Make sure that your submission includes your name and OU email.
- The deadline for submission is the last day of the month.
- The problem of the month during the summer months of May, June, July, and August will not be graded and are just for fun.
Winners of the academic year 2023/24 is Jacob Norris.
April 2025
Spring polynomials
Let p(x) be a polynomial of degree n with only real coefficients and only real zeroes. Prove that for every x, the inequality (n-1)(p'(x))2≥ np(x)p''(x) holds and then characterize the polynomials for which equality occurs.