Q. 11 A4.9( 7 Votes )
If the polynomial x3 + 6x2 + 4x + k is divisible by (x + 2), then the value of k is
A. –6
B. –7
C. –8
D. –10
Answer :
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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