CBSE Class 9 Answered
find the value of a and b so that x+1and x-1 are the the factor of x^4+ax^3+2x^-3x+b
Asked by jhanvi3824 | 07 Oct, 2023, 21:35: PM
![begin mathsize 14px style f left parenthesis x right parenthesis space equals space x to the power of 4 plus a x cubed plus 2 x squared minus 3 x plus b end style](https://images.topperlearning.com/topper/tinymce/cache/07e0692c40746ada90005e5b1125f2b8.png)
If (x+1) is a factor of f(x) , then f(-1) = 0
![begin mathsize 14px style f left parenthesis negative 1 right parenthesis space equals space 1 minus a space plus 2 space plus 3 space plus space b space equals space 0 end style](https://images.topperlearning.com/topper/tinymce/cache/39f5cec38c63d21749d6e496014b0792.png)
Hence , we get ,
.................... (1)
![begin mathsize 14px style negative a space plus space b space equals space minus 6 end style](https://images.topperlearning.com/topper/tinymce/cache/efdead0021ee1c18423e675c234901bf.png)
If (x-1) is a factor of f(x) , then f(1) = 0
![begin mathsize 14px style f left parenthesis 1 right parenthesis space equals space 1 space plus a space plus 2 space minus 3 space plus b space space equals space 0 end style](https://images.topperlearning.com/topper/tinymce/cache/283916976dc29b171be68a5b02616b83.png)
Hence , we get ,
..........................(2)
![begin mathsize 14px style a plus b space equals space 0 end style](https://images.topperlearning.com/topper/tinymce/cache/cb4b416fd5959abb665f43ae16f8f58a.png)
hence we get , a = 3 and b = -3
Answered by Thiyagarajan K | 08 Oct, 2023, 11:17: AM
Application Videos
Concept Videos
CBSE 9 - Maths
Asked by anantnarayansingh1970 | 23 Jun, 2024, 12:19: PM
CBSE 9 - Maths
Asked by shambhushanker123 | 29 Oct, 2023, 20:36: PM
CBSE 9 - Maths
Asked by jhanvi3824 | 07 Oct, 2023, 21:35: PM
CBSE 9 - Maths
Asked by shivalaxmi0205 | 15 Feb, 2023, 18:49: PM
CBSE 9 - Maths
Asked by shivalaxmi0205 | 15 Feb, 2023, 18:47: PM
CBSE 9 - Maths
Asked by rabibasanti2019 | 09 May, 2022, 11:17: AM
CBSE 9 - Maths
Asked by mobarakhussain70993 | 29 Aug, 2021, 08:41: AM
CBSE 9 - Maths
Asked by muralibajar1982 | 25 Jul, 2021, 15:01: PM
CBSE 9 - Maths
Asked by oshinpardhi559 | 15 Mar, 2021, 21:19: PM