Brilliant problem
Posted: Sat May 04, 2013 4:47 pm
Any hint is expected..
*Consider the polynomial $P(x)=x^{3}+3x+1$ with roots $r_{1},r_{2},r_{3}$.
Find the value of $(r_{1}^{2}+r_{1}+1)(r_{2}^{2}+r_{2}+1)(r_{3}^{2}+r_{3}+1)$.
*Consider the polynomial $P(x)=x^{3}+3x+1$ with roots $r_{1},r_{2},r_{3}$.
Find the value of $(r_{1}^{2}+r_{1}+1)(r_{2}^{2}+r_{2}+1)(r_{3}^{2}+r_{3}+1)$.