Question 983643
 ;;;;;;  x^3  +2
x+1/ X^4+x^3+2x
;;;;;;; x^4+x^3 ; subtract
===========    2x
============ 2x+2
subtract  R=-2
Quotient=x^3+2
Check:  (x+1)(x^3+2)=x^4+2x+x^3+2, or x^4+x^3+2x+2.
Remainder is -2 , so we get the original equation.