Q11 of 82 Page 130

If the polynomial x3 + 6x2 + 4x + k is divisible by (x + 2), then the value of k is

As it is given that, (x + 2) is a factor of the given polynomial, then -2 is the root of the polynomial.


So, as -2 is root of the polynomial and when we put -2 in the polynomial then it will give us “0” as the answer.


Now, we have,


(-2)3 + 6(-2)2 + 4(-2) + k = 0


-8 + 6×4 -8 + k = 0


-16 + 24 + k = 0


k + 8 = 0


k = -8


⸫ value of k is -8.


Hence, the correct option is (c).

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