<PRE><B>Question 947219</B>
EDIT: Corrected mistake in the remainder of the final answer.


The root being checked is +4.
The second line or row is for the coefficients, except for here also including the root being checked at the left side.


Format representation:


_______________|_______
_______________|___________________________________________
__________+4___|_______1______8_______-2______3______
_______________|
_______________|___________________________________________



Bring down the first coefficient, multiply by (+4), put this under the second coefficient:

_______________|______________
_______________|___________________________________________
__________+4___|_______1______8_______-2______3______
_______________|______________4
_______________|___________________________________________
_______________________1


ADD the 8 and 4, being 12.


_______________|______________
_______________|___________________________________________
__________+4___|_______1______8_______-2______3______
_______________|______________4
_______________|___________________________________________
_______________________1______12


What is {{{12/4}}}?
3; put this above the 8;



_______________|______________3
_______________|___________________________________________
__________+4___|_______1______8_______-2______3______
_______________|______________4
_______________|___________________________________________
_______________________1______12



Continuing the process until finished:


_______________|______________3_______48_____47.5
_______________|___________________________________________
__________+4___|_______1______8_______-2______3______
_______________|______________4_______192____190
_______________|___________________________________________
_______________________1______12______190____193


The meaning of this is  {{{3x^2+48x+47.5+193/(x-4)}}}.
The very top line shows the quotient coefficients.
Remainder is 193.
</PRE>