question_answer

If the HCF of \[{{x}^{3}}-27\] and \[{{x}^{3}}+4{{x}^{2}}+12x+k\] is a quadratic polynomial, then what is the value of K?

A)  27       

B)  9

C)  3

D)  \[-\,\,3\]

Correct Answer: B

Solution :

Now, \[{{x}^{3}}-27=(x-3)({{x}^{2}}+9+3x)\] \[\therefore \] The value of .k should be 9.