<PRE><B>Question 1103725</B>
1. f(x)=2x^4+4x^3-5x^2+3x-2 divided by p(x)=x^2+2x-3
&lt;pre&gt;
           &lt;u&gt;             2x² + 0x + 1&lt;/u&gt;
x² + 2x - 3)2x&amp;#8308; + 4x³ - 5x² + 3x - 2
            &lt;u&gt;2x&amp;#8308; + 4x³ - 6x²&lt;/u&gt;
                  0x³ +  x² + 3x
                  &lt;u&gt;0x³ + 0x² + 0x&lt;/u&gt;
                         x² + 3x - 2
                         &lt;u&gt;x² + 2x - 3&lt;/u&gt;
                               x + 1

{{{2x^2+1+(x+1)/(x^2+2x-3)}}}{{{&quot;&quot;=&quot;&quot;}}}{{{2x^2+1+(x+1)/((x-1)(x+3))}}}


&lt;/pre&gt;
2. Synthetic div to divide x^3-27 by  x-3
&lt;pre&gt;
3 | 1   0   0 -27
  |&lt;u&gt;     3   9  27&lt;/u&gt;
    1   3   9   0

Answer:  {{{x^2+3x+9}}}


Edwin&lt;/pre&gt;


 </PRE>