RMO Rules

Prove that when $(x+1)^{n}$ is divided by $(x-1)^{3}$ . The remainder is $n\left( n-1 \right) \left( { 2 }^{ n-3 } \right) \left( { x }^{ 2 } \right) -{ 2 }^{ n-2 }x\left( { n }^{ 2 }-3n \right) +{ 2 }^{ n-3 }\left( { n }^{ 2 }-5n+8 \right)$

#Algebra #Remainder-FactorTheorem

Easy Math Editor

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Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

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@Satyajit Mohanty , @Pi Han Goh , @Chew-Seong Cheong . Call other people too if you want.

Department 8 - 4 years ago

Did you get it?

Kaustubh Miglani - 4 years ago

answer key of phase test 3 is out check ur marks and lets discuss about the answers in answer key which are wrong and btw I got the solution to this problem buddy reply soon

Kaustubh Miglani - 4 years ago

not too good here,645/734

Kaustubh Miglani - 4 years ago

all the best lakshay.tomorrow is the big day to show what u truly are

Kaustubh Miglani - 3 years, 10 months ago

Thanks and same to you

Department 8 - 3 years, 10 months ago

how are u preparing for it?

Kaustubh Miglani - 3 years, 10 months ago

@Kaustubh Miglani – how did the rmo go .expected score?

Kaustubh Miglani - 3 years, 10 months ago

@Kaustubh Miglani – Not good I knew four questions but was able to do only two, less time.

Department 8 - 3 years, 10 months ago

@Department 8 – sorry for u.i got 4 questions correct with the rest two 1/3 correct.think i will get selected??? also ask everyone on hangouts how much they r getting

Kaustubh Miglani - 3 years, 10 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$