Răspuns:
Explicație pas cu pas:
f = x⁴ + x³ + x² + x + 1
g = x² - x - 1 ; f: g = ?
-----------------------------------
x⁴ + x³ + x² + x + 1 : x² - x - 1 = x²+2x+4
-x⁴+x³+x²
_______
2x³+2x²+x+1
-2x³+2x²+2x
__________
4x²+3x+1
-4x²+4x+4
________
rest = 7x+5
==========================
f : g = x²+2x+4 ; rest 7x+5