Need Assistance with a division of polynomials problem

[Ravingsofthesane]

Hey everyone

got a issue that I am unclear of what to do ..

the problem is: X^3 + 3X^2 + 5X + 4
-------------------------
X+1


I know that this involves long division to get the solution.
____________________
St. 1 - X+1 | X^3 + 3x^2 + 5X + 4


X^2
_____________________
St. 2 - X+1 | X^3 + 3X^2 + 5X + 4
-X^3 - X^2
---------------
2


this is where I am a bit lost .. I know the next thing to do is take the X to the 2 which would be 2x , but would that not leave the X left over?

... can anyone assist this?

 

[Denis]

X^2
_____________________
St. 2 - X+1 | X^3 + 3X^2 + 5X + 4
-X^3 - X^2
---------------
2

3x^2 - x^2 = 2x^2, NOT 2