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

The LCM of the polynomials xy+yz+zx+y2andx2+xy+yz+zx is

A
x+y
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
y+z
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
(x+y)(y+z)(z+x)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
x2+y2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C (x+y)(y+z)(z+x)
xy+yz+zx+y2=x(y+z)+y(y+z)
= (y+z)(x+y)
x2+xy+yz+zx=x(x+y)+z(y+x)
= (x+y)(x+z)
Reqd LCM =(x+y)(y+z)(x+z)

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