Question 407891
<pre><font face = "lucida console" color = "indigo" size = 4><b>

5x + 6x³ - 8  divided by x - 2

Write 5x + 6x³ - 8  in descending order

6x³ + 5x - 8  

Insert "+ 0x²" as a placeholder for a term in x²

6x³ + 0x² + 5x - 8 

You can either use long division or synthetic division:

Long division:



      <u>       6x² + 12x + 29</u> + {{{50/(x-2)}}}
x - 2)6x³ +  0x² +  5x -  8
      <u>6x³ - 12x²</u>
            12x² +  5x
            <u>12x² - 24x</u>
                   29x -  8
                   <u>29x - 58</u>
                         50 
Or by synthetic division:

    2| 6  0  5  -8
     |<u>   12 24  58</u> 
       6 12 29  50 

   6x² + 12x + 29</u> + {{{50/(x-2)}}}

Edwin</pre>