Request a call back

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

CBSE Class 10 Answered

If (x^2+x-12) divides x^3+ax^2+bx-84 completely,then find the values of a and b.
Asked by ADITHYA V | 02 Jul, 2013, 09:43: PM
Expert Answer
x^2+x-12 = (x-3)(x+4)
According to the given condition,
x^2+x-12 = (x-3)(x+4) is a factor of x^3+ax^2+bx-84 = f(x).
 
Hence, f(3) = f(-4) = 0
Therefore, 
27+9a+3b-84=0  or 3a+b-19=0
-64 + 16a-4b-84=0 or 4a-b-37=0
 
Adding these two equations, we get, 7a - 56 = 0 or a = 8
So, b = 19-24 = -5
Answered by | 02 Jul, 2013, 11:14: PM
CBSE 10 - Maths
Asked by navneetpra499 | 19 Jul, 2022, 05:06: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by vangasathwikreddy3 | 13 Jul, 2022, 10:50: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by ravindar.sanka123 | 07 Jul, 2022, 01:30: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by babadubey9771 | 03 Jul, 2022, 10:53: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by hr31448 | 01 Jun, 2022, 07:33: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by priyankakiran2017 | 18 May, 2022, 04:06: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by anuragtikekar2006 | 07 May, 2022, 06:33: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by mv716304 | 01 Apr, 2022, 05:16: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by harshkumar128198k | 29 Mar, 2022, 04:19: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by KANIMETImadhvi | 28 Mar, 2022, 06:53: AM
ANSWERED BY EXPERT

Start your hassle free Education Franchisee and grow your business!

Know more
×