CBSE Class 9 Answered
If
p(x) = x3 - ax2 + bx + 3 leaves a remainder - 19 when
divided by (x + 2) and a remainder 17 when divided by
(x
- 2), prove that a + b = 6.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
Expert Answer
Here, p(-2) = -8 - 4a - 2b + 3 = -19
4a + 2b = 14 … (1)
And, p(2) = 8 - 4a + 2b + 3 = 17
-4a + 2b = 6 … (2)
Adding (1) and (2), we get
4b = 20 b = 5
From (1), 4a + 10 = 14
Or, 4a = 4
Or, a = 1
Hence, a + b = 6
Answered by | 04 Jun, 2014, 03:23: PM
Application Videos
Concept Videos
CBSE 9 - Maths
Asked by palakbajwa21 | 24 May, 2023, 07:41: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by 1987daljeetkaur | 22 May, 2023, 11:54: AM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by shivalaxmi0205 | 21 Feb, 2023, 07:26: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by anikk659 | 08 Jan, 2023, 03:41: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by yeshudarsh | 05 Jul, 2022, 06:38: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by meghapatel29121998 | 23 Jun, 2022, 10:08: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by Chaitanyamburande | 08 May, 2022, 11:43: AM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by abdulsamad82007 | 26 Jun, 2021, 02:24: PM
ANSWERED BY EXPERT