Skip to content / Đến nội dung
ThichHocToan.com

SMO 2016 Open Round 2 Question 4

SMO · SMO 2016 Open Round 2

Question 4

Let $b$ be a number with $-2<b<0$. Prove that there exists a positive integer $n$ such that all the coefficients of the polynomial $(x+1)^n(x^2+bx+1)$ are positive.