Tukukkk

Within Temptation Within Temptation ao vivo em 2012. Informação geral País  Países Baixos Gênero(s) Metal sinfônico, rock sinfônico, gothic metal, alternative metal, doom metal (primeiros anos) Período em atividade 1995 - atualmente Gravadora(s) DSFA Records GUN Records RoadRunner Records Integrantes Sharon den Adel Robert Westerholt Ruud Adrianus Jolie Jeroen van Veen Martijn Spierenburg Mike Coolen Ex-integrantes Ivar de Graaf Martijn Westerholt Michiel Papenhoeve Stephen van Haestregt Página oficial www.Within-Temptation.com

2 $begingroup$ PT $(x-a_{1})(x-a_{2})..(x-a_{n})+1$ can not be factored into two smaller polynomial $P(x)$ and $Q(x)$ with integer coefficients, where $a_{i}$ 's are all different integers. This problem can be solved by considering the root of equation $P(x)Q(x)-1=0$ This problem comes from Terry Tao's book Solving mathematical problem (page 47), in which he gives a hint as if P(x) and Q(x) are such factors then what can you say about $P(x)-Q(x)$ How does one solve this problem this hint? Edit: This appears not to be true as pointed out by Darji and Eric. For interested readers, The actual problem can be found here, page 47 Excercise 3.7 polynomials contest-math irreducible-polynomials