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Class 9 Srijan Mathematics Ex-3.3 Q10 (a,b) Ans- 10/a -. 144 10/b -. -105/4 please Show All The Process
Asked by anikk659 | 08 Jan, 2023, 03:41: PM
Qn.(10)

if f(x) is divided by (x-1) , then we get remainder 24

Hence f(1) = 1 -2 -13 -α + β = 24   or   - α + β = 38  .................................(1)

if f(x) is divided by (x+2) , then we get remainder -24

Hence f(-2) = 16 +16 -52 + 2α + β = -24   or   2 α + β = -4  .................................(2)

By solving eqn.(1) and (2) , we get α = -14   and  β = 24

if f(x) is divided by (x+4) , then we get remainder as

f(4) = 256 +128 -208 +4 α + β = 176 + 4( -14 ) + 24 = 144

Hence, if f(x) is divided by (x+4) , then remainder is 144

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Qn.(11)

if f(x) is divided by (x-2) , then we get remainder -10

Hence f(2) = 16 +24 - (27/4)4  + 2 a - b = -10   or   2a - b  = -23  .................................(3)

if f(x) is divided by (x+4) , then we get remainder 308

Hence f(-4) = 256 + 192 -108 -4a  - b  = 308   or   -4a -b  = -32  .................................(4)

By solving eqn.(3) and (4) , we get a = 3/2   and  b = 26

if f(x) is divided by (x-3) , then we get remainder as

f(3) = 81 -81 -(27/4)9 + 3(3/2) - 26 = -329 / 4

Hence, if f(x) is divided by (x-3) , then remainder is -329/4

Answered by Thiyagarajan K | 08 Jan, 2023, 09:20: PM

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