Skip to content / Đến nội dung
ThichHocToan.com

SMO 2010 Open Round 1 Question 17

SMO · SMO 2010 Open Round 1

Question 17

Let $f(x)$ be a polynomial of degree $5$. When divided by $x-1,x-2,x-3,x-4,x^2-x-1$, respectively, it leaves remainders $3,1,7,36,x-1$. Find the square of the remainder when $f(x)$ is divided by $x+1$.