Question

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

Answer 1

First of all, we can simplify the dividend:

`-2x+11x^2-23x+20=11x^2-25x+20` so we can rewrite our problem as 11x^2-25x+20 divided by
`x^2-3x+4`.
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
`11x^2-25x+20` by
`x^2-3x+4` is
`11` with a remainder of
`8x-24`, or in other notation:
`(-2x+11x^2-23x+20)/(x^2-3x+4) =11+ (8x-24)/(x^2-3x+4)`