wiz-icon
MyQuestionIcon
MyQuestionIcon
3
You visited us 3 times! Enjoying our articles? Unlock Full Access!
Question

The expression (2x2+1+2x21)6+(22x2+1+2x21)6 is a polynomial of degree

A
6
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
8
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
10
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
12
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 6
We have,
(22x2+1+2x21)(2(2x2+12x21)(2x2+1)(2x21))(2x2+12x21)

So, the given expression can be written as
(2x2+1+2x21)6+(2x2+12x21)6

We know that
(a+b)6+(ab)6=2[a6+6C2a4b2+6C4a2b4+b6]=2[a6+15a4b2+15a2b4+b6]

Putting a=2x2+1,b=2x21
(2x2+1+2x21)6+(2x2+12x21)6
=2[(2x2+1)3+15(2x2+1)2(2x21)+15(2x2+1)(2x21)2+(2x21)3]

So, the degree of the polynomial is 6.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon