1. ## Interesting polynomial exercise

$f(x)= x^2175 + 97x + 194$

¿How many roots in $Q$ $f$ has?

2. Originally Posted by osodud
$f(x)= x^2175 + 97x + 194$

¿How many roots in $Q$ $f$ has?

Hell0 : no roots in Q :
delta = b2 - 4ac a=175 b= 97 c = 194
delta = -126391 ( negatif number )