If (t-8) is a factor of t^2-kt-43, then k=  Choose the correct choice from the following choices
A) 16
B) 12
C) 2
D) 3
E) 14
t^2-kt-48 = (t-8)(t+m) where m is any positive integer.   if 48/8= 
<gadget id="calculator">48/8</gadget>
<output>6</output>
6, then we know as a matter of fact that:   m= +6   and thus k = 8-6 = 3   t^2-kt-m = (t-a)(t+m) where a&gt;m   t^2+kt-m = (t-a)(t+m) where a&lt;m   t^2-kt+m = (t-a)(t-m)   t^2+kt+m = (t+a)(t+m)   3
<result>D</result>
If (t-8) is a factor of t^2-kt-43, then k=