# 2014 USAMO Problems/Problem 1

Revision as of 18:38, 29 April 2014 by TheMaskedMagician (talk | contribs) (Created page with "==Problem== Let <math>a,b,c,d</math> be real numbers such that <math>b-d \ge 5</math> and all zeros <math>x_1, x_2, x_3,</math> and <math>x_4</math> of the polynomial <math>P(x)=...")

## Problem

Let be real numbers such that and all zeros and of the polynomial are real. Find the smallest value the product can take.