Question 468030
  <pre><font face = "Tohoma" size = 4 color = "indigo"><b> 
Hi,
(6x^2+3x-18)/(2x+4) = 3x - 9/2
Following is "long division" following the same pattern as all long division
        {{{highlight(3x - 9/2)}}}
       _______________________
2x +4 | 6x^2   +3x   -18      
     - (6x^2  +12x)        This is 3x (2x+4)
       ---------------
                -9x -  18
             - (-9x -  18) This is -9/2(2x+4)   
                ---------
                      0
Note:
 (2x+4)(3x-9/2) = 6x^2 +3x -18
F	First terms 6x^2
O	Outside terms -9x
I	Inside terms  12x
L	Last terms     -18