Question 70114
<pre><font size = 5><b>
Find the value of k that will make x-2
a factor of x<sup>4</sup>-3x<sup>3</sup>+4x<sup>2</sup>+2x+k


Use synthetic division
     __________________
  2 | 1  -3   4   2   k
    |<u>     2  -2   4  12  </u>
      1  -1   2   6  k+12

Set the remainder k+12 equal to zero 
and solve for k

   k + 12 = 0
        x = -12

Edwin</pre>