I've been working through "A Course of Pure Mathematics" and there is one problem I'm really stuck on. I'm wondering if anyone could help me out. To avoid typing it all out, I here's a link. http://books.google.com/books?id=a3...a=X&oi=book_result&resnum=1&ct=result#PPA7,M1 Here's the problem taken out of context. It's 6 and page 7. Show that if Pn = 1 and p1+p2+...+pn[tex]\neq[/tex] -1, then p1xn+p2xn-1+p3xn-2+...+pn = 0 can not have a rational root. I apologize if I put this in the wrong section.