Polinom
je takav da
. Koliko iznosi koeficijent uz
u polinomu
?
The polynomial
is such that
. What is the coefficient of
in the polynomial
?
[lang=hr]
Polinom $P(x)$ je takav da $x^{100} \mid P(x)^2 - x - 1$. Koliko iznosi koeficijent uz $x^{99}$ u polinomu $(P(x)+1)^{100}$?
[/lang]
[lang=en]
The polynomial $P(x)$ is such that $x^{100} \mid P(x)^2 - x - 1$. What is the coefficient of $x^{99}$ in the polynomial $(P(x)+1)^{100}$?
[/lang]
