Question 1188350
<pre>
Instead of doing your homework for you, I'll do one exactly like yours step-by-step
so you can use it as a model to do yours by.</pre>Given f(x)=x^3+kx-36, and x-3 is a factor 
of f(x), then what is the value of k?<pre>We divide f(x) by x-3, using synthetic division (be sure to change the sign of
-3 to +3 when using synthetic division).

 3 | 1   0   k   -36
   |<u>     3   9  3k+27</u>
     1   3  k+9 3k-9

The remainder 3k-9 must be 0, so 3k-9 = 0
                                   3k = 9
                                    k = 3

Edwin</pre>