Answer:
x^2 - 24x + 22 + (75x - 40)/(x^ +x + 2)
Explanation:
There is no term in x^2 so we insert + 0x^2 into the polynomial:-
x^2 + x + 2 )x^4 - 23x^3 + 0x^2 + 49x + 4(x^2 - 24x + 22 <------Quotient
x^4 + x^3 + 2x^2
- 24x^3 - 2x^2 + 49x
- 24x^3 - 24x^2 - 48x
22x^2 + 97x + 4
22x^2 + 22x + 44
75x - 40 <-------- remainder