Neka su
,
i
korijeni polinoma
. Odredi
. Rješenje zapišite u obliku do kraja skraćenog razlomka, npr. 5/17 .
Let
,
, and
be the roots of the polynomial
. Determine
. Write the solution as a fully simplified fraction, e.g. 5/17.
[lang=hr]
Neka su $r_1$, $r_2$ i $r_3$ korijeni polinoma $5x^3 - 11 x^2 + 7x + 3$. Odredi $r_1 ^3 + r_2 ^3 + r_3 ^3$. Rješenje zapišite u obliku do kraja skraćenog razlomka, npr. 5/17 .
[/lang]
[lang=en]
Let $r_1$, $r_2$, and $r_3$ be the roots of the polynomial $5x^3 - 11x^2 + 7x + 3$. Determine $r_1^3 + r_2^3 + r_3^3$. Write the solution as a fully simplified fraction, e.g. 5/17.
[/lang]
