Q. 11 A4.9( 7 Votes )

# If the polynomial x3 + 6x2 + 4x + k is divisible by (x + 2), then the value of k isA. –6B. –7C. –8D. –10

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).

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Polynomial Identities31 mins
Zeros and Degrees of a Polynomial41 mins
Polynomial Identities in a Different Way43 mins
Methods to find zeroes of a polynomial 139 mins
Methods to find zeroes of a Polynomial-246 mins
How to avoid Polynomial Long Division when finding factors.40 mins
Concept of Zero & Degree of a Polynomial.54 mins
Champ Quiz | Geometrical Meaning of the Zeroes of a Polynomial38 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses