```Question 147616
These solutions were generated from the <a href="http://www.calc101.com/webMathematica/long-divide.jsp">Long Division of Polynomials Calculator</a>

a)

<a href="http://s150.photobucket.com/albums/s91/jim_thompson5910/?action=view&current=1-1.gif" target="_blank"><img src="http://i150.photobucket.com/albums/s91/jim_thompson5910/1-1.gif" border="0" alt="Photobucket"></a>

So {{{(x^2 + 5x - 14)/(x-2)=x+7}}}

<hr>

b)

<a href="http://s150.photobucket.com/albums/s91/jim_thompson5910/?action=view&current=2-2.gif" target="_blank"><img src="http://i150.photobucket.com/albums/s91/jim_thompson5910/2-2.gif" border="0" alt="Photobucket"></a>

So {{{(x^3 + x +30)/(x+3)=x^2-3x+10}}}

<hr>

c)

<a href="http://s150.photobucket.com/albums/s91/jim_thompson5910/?action=view&current=3-1.gif" target="_blank"><img src="http://i150.photobucket.com/albums/s91/jim_thompson5910/3-1.gif" border="0" alt="Photobucket"></a>

So {{{(8x^3 + 5x^2 - 12x + 10)/(x^2 - 3)=8x+5}}} remainder {{{12x+25}}}
```