<PRE><B>Question 1150740</B>
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Given that x^2+5x-14 is a factor of x^4-2x^3-37x^2+kx-168, 
evaluate the sum of the four roots of the equation: x^4-2x^3-37x^2+kx-168=0. 
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&lt;pre&gt;

Independently from any other &quot;given&quot; parts of the problem,


    the sum of the roots of the equation  x^4 - 2x^3 - 37x^2 + kx - 168 = 0 is equal to its coefficient at x^3 
    taken with the opposite sign, i.e. +2.    (Based on the Vieta&#39;s theorem)


&lt;U&gt;ANSWER&lt;/U&gt;.  The sum of the roots of the equation  x^4 - 2x^3 - 37x^2 + kx - 168 = 0  is  2.
&lt;/pre&gt;


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&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;U&gt;Double &amp;nbsp;and &amp;nbsp;triple &amp;nbsp;check&lt;/U&gt; &amp;nbsp;your problem ----- I am &amp;nbsp;198% &amp;nbsp;sure that there is a &amp;nbsp;FATAL &amp;nbsp;ERROR 


&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;U&gt;BOTH&lt;/U&gt; &amp;nbsp;in its formulation &amp;nbsp;&lt;U&gt;AND&lt;/U&gt; &amp;nbsp;in flowing of the thoughts in the head of the person who created it.



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