Request a call back

# CBSE Class 9 Answered

express as perfect square x⁴+2x³+3x²-2x+1
Asked by mobarakhussain70993 | 29 Aug, 2021, 08:41: AM Expert Answer
Let , x4 + 2 x3 + 3 x2 + 2 x + 1 = ( x2 + a x + b )2

RHS = x4 + a2 x2 + b2 + 2a x3 + (2ab) x + 2b x2

If we compare the expanded RHS and LHS , we get ,

2a = 2 , i.e a = 1

2ab = 2 ,  hence if a =1 , b = 1

Hence , we get , x4 + 2 x3 + 3 x2 + 2 x + 1 = ( x2 + x +1 )2

To get a perfect square of given polynomial , coefficient of x term should be +2 not -2 .
Hence the coefficient of x term is changed .
If we do not change it is not possible to express the given polynomial as perfect square
Answered by Thiyagarajan K | 17 Sep, 2021, 01:47: PM

## Application Videos

CBSE 9 - Maths
Asked by rabibasanti2019 | 09 May, 2022, 11:17: AM ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by mobarakhussain70993 | 29 Aug, 2021, 08:41: AM ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by muralibajar1982 | 25 Jul, 2021, 03:01: PM ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by oshinpardhi559 | 15 Mar, 2021, 09:19: PM ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by vchanchal227 | 06 Mar, 2021, 01:34: AM ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by amittomer | 25 May, 2020, 03:40: PM ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by ramasareverma99 | 07 May, 2020, 02:03: PM ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by rajusdahat76 | 28 Sep, 2019, 02:10: PM ANSWERED BY EXPERT
CBSE 9 - Maths
Factorise The given  Polynomial Asked by shaveta.rishabh | 09 Jul, 2019, 11:35: PM ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by nisha_vini29 | 25 Feb, 2019, 03:22: PM ANSWERED BY EXPERT