Respuesta :

Synthetic division yields

1   |   1   0   0   1

.   |        1    1    1  

= = = = = = = = = =

.   |   1    1    1    2

which translates to

(x³ + 1) / (x - 1) = x² + x + 1 + 2/(x - 1)

where the quotient is x² + x + 1.