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

For what values of m will the expression y2+2xy+2x+my3 can be resolved in two linear factors.

A
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
3
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 2
y2+2xy+2x+my3 can be resolved into two linear factors
=(2x+m)24(2x3)0
4x2+4mx+m28x+120
4x2+(4m8)x+(m2+12)0
must be perfect square in order to resolve given expression into product of two linear factors.
4x2+2(m2)(2x)+m2+12 must be perfect square
(m2)2=m2+12
4m+4=12
m=2

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Animal Tissues
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon