Let p(x)=a21x21+a20x20+⋯+a1x+1 be a polynomial with integer coefficients and real roots such that the absolute value of all of its roots are less than 1/3, and all the coefficients of p(x) are lying in the interval [−2019a,2019a] for some positive integer a. Prove that if this polynomial is reducible in Z[x], then the coefficients of one of its factors are less than a.Submitted by Navid Safaei, Tehran, Iran algebrapolynomialabsolute value