CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If 2x+1 is a factor of (3b+2)x3+(b1), then find the value of b.

A
b=4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
b=1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
b=5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
b=2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D b=2
Let f(x)=(3b+2)x3+(b1)
If (2x+1) is a factor of f(x), then f(12)=0
Now,
f(12)=0
=>(3b+2)(12)3+(b1)=0
=>(3b+2)(18)+(b1)=0
=>3b814+b1=0
=>3b+8b854=0
=>5b8=54
=>b=84
=>b=2

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Division of Algebraic Expressions
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon