Request a call back

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

CBSE Class 9 Answered

Q-12 The polynomial p left parenthesis x right parenthesis equals a x cubed minus 3 x squared plus 4 space a n d space space g left parenthesis x right parenthesis equals 2 x cubed minus 5 x to the power of blank plus a space space w h e n space d i v i d e d space b y space space left parenthesis x minus 2 right parenthesis space space a n d space space left parenthesis x minus 3 right parenthesis space l e a v e space t h e space r e m a i n d e r s space p space a n d space q space comma space r e s p e c t i v e l y.. space I f space p minus 2 q equals 4 comma space t h e space f i n d space t h e space v a l u e space o f space
Asked by kishor.kp14 | 18 Jun, 2019, 11:25: AM
answered-by-expert Expert Answer
p(x) = ax - 3x2  + 4 is divided by (x - 2), then p is the remainder.
 
→ f(2) = p
→ a(2) - 3(2)2  + 4 = p
→ 8a - 12 + 4 = p
→ 8a - 8 = p   ... (i)
 
g(x) = 2x - 5x  + a is divided by (x - 3), then q is the remainder.
 
→ g(3) = q
→ 2(3) - 5(3)  + a = q
→  54 - 15 + a = q
→   39 + a = q     .... (ii)
 
 
p - 2q = 4   ....  given

→ 8a - 8 - 2(39 + a) = 4  .... from (i) and (ii)
→ 8a - 8 - 78 - 2a = 4
→ 6a - 86 = 4
→  6a = 90
→    a = 15
 
 
 
Answered by Yasmeen Khan | 18 Jun, 2019, 11:37: AM
CBSE 9 - Maths
Asked by 1987daljeetkaur | 22 May, 2023, 11:54: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by shivalaxmi0205 | 21 Feb, 2023, 07:26: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by anikk659 | 08 Jan, 2023, 03:41: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by yeshudarsh | 05 Jul, 2022, 06:38: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by janardanjc1982 | 28 Jun, 2022, 08:21: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by meghapatel29121998 | 23 Jun, 2022, 10:08: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by renuka12345 | 31 May, 2022, 09:13: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by Chaitanyamburande | 08 May, 2022, 11:43: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by abdulsamad82007 | 26 Jun, 2021, 02:24: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×