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

P(n)=(1+x)nnx1, is divisible by

A
x3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
x2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
any exponent of x
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
none of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A x2
P(n)=(1+x)nnx1
P(n)=1+nx+nC2x2+...+nCnxn1nx=x2(nC2+nC3x+...+nCnxn2)
Therefore, P(n) is divisible by x2
Ans: B

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