Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 9 Answered

find the values of a and b so that x+1 and x-1 are factors of x?+ax³+x²+2x+b
Asked by shivalaxmi0205 | 15 Feb, 2023, 18:49: PM
answered-by-expert Expert Answer
(x + 1) and (x - 1) are the factors of x to the power of 4 plus a x cubed plus x squared plus 2 x plus b.
Let f(x) = x to the power of 4 plus a x cubed plus x squared plus 2 x plus b
Then f(-1) = 0 and f(1) = 0
That is,
f left parenthesis negative 1 right parenthesis equals open parentheses negative 1 close parentheses to the power of 4 plus a open parentheses negative 1 close parentheses cubed plus open parentheses negative 1 close parentheses squared plus 2 open parentheses negative 1 close parentheses plus b equals 0 1 minus a plus 1 minus 2 plus b equals 0 minus a plus b equals 0 space space space space space space space space space..... left parenthesis 1 right parenthesis f open parentheses 1 close parentheses equals open parentheses 1 close parentheses to the power of 4 plus a open parentheses 1 close parentheses cubed plus open parentheses 1 close parentheses squared plus 2 open parentheses 1 close parentheses plus b equals 0 1 plus a plus 1 plus 2 plus b equals 0 a plus b equals negative 4 space space space space space space space space..... left parenthesis 2 right parenthesis S o l v i n g space left parenthesis 1 right parenthesis space a n d space left parenthesis 2 right parenthesis comma 2 b equals negative 4 rightwards double arrow b equals negative 2 A n d comma space a plus open parentheses negative 2 close parentheses equals negative 4 rightwards double arrow a equals negative 2
Answered by Rashmi Khot | 16 Feb, 2023, 15:18: PM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 9 - Maths
factories 4(a+b)-6(a+b)
Asked by anantnarayansingh1970 | 23 Jun, 2024, 12:19: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
2x² + x - 45 = 0 Factorise above
Asked by shambhushanker123 | 29 Oct, 2023, 20:36: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
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
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
find the values of a and b so that x+1 and x-1 are factors of x?+ax³+x²+2x+b
Asked by shivalaxmi0205 | 15 Feb, 2023, 18:49: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
factorise: x³+6x²+11x+6
Asked by shivalaxmi0205 | 15 Feb, 2023, 18:47: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
cbse
Asked by latikaa30 | 17 Dec, 2022, 20:40: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
explain about how to find factors of polynomials
Asked by rabibasanti2019 | 09 May, 2022, 11:17: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
express as perfect square x?+2x³+3x²-2x+1
Asked by mobarakhussain70993 | 29 Aug, 2021, 08:41: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
How to factorise the cubic polynomial
Asked by muralibajar1982 | 25 Jul, 2021, 15:01: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
if (x-2) is a factor of polynomial f(x) but not of g(x), then it must be a factor of? a)f(x) g(x) , b)g(x)-f(x) , c) f(x)-g(x) , d) {f(x)+g(x)}g(x)
Asked by oshinpardhi559 | 15 Mar, 2021, 21:19: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Are You a Teacher or a Parent Seeking Customised Tests? Click here
×