Question 122365
<pre><big><b>
I think you meant {{{(x^2+2x-36)/(x+4)}}}.  You don't say, so I'm going to assume that you mean polynomial long division.

<table border="1" 
cellpadding="5">
<tr>
  <td></td>
  <td>{{{x}}}</td>
  <td>First term of divisor into first term of dividend</td>
</tr>   
<tr>
  <td>{{{x+4}}}</td>
  <td>{{{x^2+2x-36}}}</td>
</tr>
</table>

<table border="1" 
cellpadding="5">
<tr>
  <td></td>
  <td>{{{x}}}</td>
</tr>   
<tr>
  <td>{{{x+4}}}</td>
  <td>{{{x^2+2x-36}}}</td>
</tr>
<tr>
  <td></td>
  <td>{{{x^2+4x}}}</td>
  <td>Partial quotient times divisor</td>
</tr> 
</table>

<table border="1" 
cellpadding="5">
<tr>
  <td></td>
  <td>{{{x}}}</td>
</tr>   
<tr>
  <td>{{{x+4}}}</td>
  <td>{{{x^2+2x-36}}}</td>
</tr>
<tr>
  <td></td>
  <td>{{{x^2+4x}}}</td>
  <td></td>
</tr> 
<tr>
  <td></td>
  <td>&nbsp&nbsp{{{-2x-36}}}</td>
  <td>Subtract and bring down next term</td>
</tr> 
</table>

<table border="1" 
cellpadding="5">
<tr>
  <td></td>
  <td>{{{x-2}}}</td>
  <td>Divide by first term of divisor again</td>
</tr>   
<tr>
  <td>{{{x+4}}}</td>
  <td>{{{x^2+2x-36}}}</td>
</tr>
<tr>
  <td></td>
  <td>{{{x^2+4x}}}</td>
  <td></td>
</tr> 
<tr>
  <td></td>
  <td>&nbsp&nbsp{{{-2x-36}}}</td>
  <td></td>
</tr> 
</table>

<table border="1" 
cellpadding="5">
<tr>
  <td></td>
  <td>{{{x-2}}}</td>
  <td></td>
</tr>   
<tr>
  <td>{{{x+4}}}</td>
  <td>{{{x^2+2x-36}}}</td>
</tr>
<tr>
  <td></td>
  <td>{{{x^2+4x}}}</td>
  <td></td>
</tr> 
<tr>
  <td></td>
  <td>&nbsp&nbsp{{{-2x-36}}}</td>
  <td></td>
</tr> 
<tr>
  <td></td>
  <td>&nbsp&nbsp{{{-2x-8}}}</td>
  <td>Multiply by new quotient term</td>
</tr> 
</table>

<table border="1" 
cellpadding="5">
<tr>
  <td></td>
  <td>{{{x-2}}}</td>
  <td></td>
</tr>   
<tr>
  <td>{{{x+4}}}</td>
  <td>{{{x^2+2x-36}}}</td>
</tr>
<tr>
  <td></td>
  <td>{{{x^2+4x}}}</td>
  <td></td>
</tr> 
<tr>
  <td></td>
  <td>&nbsp&nbsp{{{-2x-36}}}</td>
  <td></td>
</tr> 
<tr>
  <td></td>
  <td>&nbsp&nbsp{{{-2x-8}}}</td>
  <td></td>
</tr> 
<tr>
  <td></td>
  <td>&nbsp&nbsp&nbsp&nbsp{{{-28}}}</td>
  <td>Subtract leaving remainder</td>
</tr> 
</table>
</pre></big></b>



So: {{{(x^2+2x-36)/(x+4)=(x-2)+(-28)/(x+4)}}}