Question 825645
<pre>
Find k so that x+2 is a factor of x³ - kx² + 3x + 7k

Use synthetic division:

-2 | 1   -k      3   7k
   |<u>     -2   2k+4  -4k-14</u>
     1 -k-2   2k+7   3k-14

The remainder 3k-14 must equal 0 if x+2 is to be a factor.

So we set  3k-14 = 0
              3k = 14
               k = {{{14/3}}}

Edwin</pre>