wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

f(x) = x2+kx+6.
If (x−2) is a factor of f(x), then the value of k = .

A
5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
-5
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
-4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B -5
According to the factor theorem,
if (xa) is a factor of a polynomial
f(x), then f(a) = 0.
Given, (x2) is a factor of f(x), then f(2) = 0.
f(2) = 22+k× 2+6=0
4+2k+6=0
2k=10
k=5

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Remainder Theorem
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon