Question 1207457
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(A)  It is correct.



(B)  Both k= -4  and  k= 4  give repeated root.


     In case k= -4, the polynomial is

         x^2 + 4x + 4 = {{{(x+2)^2}}}  with repeated real root  x= -2.


     In case k= 4, the polynomial is

         x^2 - 4x + 4 = {{{(x-2)^2}}}  with repeated real root  x= 2.
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Solved and answered with complete explanation.