Show that the polynomial x⁸-x⁷+x²-x+15 has no real roots.

If you plot the function, it shows there is one minimum on the real xy plane around x=0.53.  But the range of the function is always positive.   Therefore no real roots.

Edited on November 28, 2024, 8:47 pm

Posted by Kenny M on 2024-11-28 20:29:11