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 2022/23 are Matthew Hudson and Jacob Norris.

April 2024

Products of polynomials

Suppose that f(x), g(x) are two monic polynomials with non-negative real coefficients and suppose that the product f(x)g(x)=xⁿ+a_n-1x^n-1+...+a₀ has the property that that each coefficient, a_i, is either 0 or 1. Does it follow that f and g have the same property?