The table represents the start of the division of -2x+11x^2-23x+20 by x^2-3x+4

First of all, we can simplify the dividend:
so we can rewrite our problem as 11x^2-25x+20 divided by . 
Now, to find the result of the division, we are going to perform long division as you can see in the attached image.

We can conclude that the result of of dividing  by is  with a remainder of , or in other notation: 

The first option would be correct if it were one half and not one