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x to the power of 2006, divided by x2-1 leaves the remainder AT THE END????????? Pls explain!!!!!! [means if we keep on dividing it]

 x to the power of 2006, divided by x2-1 leaves the remainder AT THE END????????? Pls explain!!!!!!


[means if  we keep on dividing it] 
 

Grade:9

2 Answers

vikas askiitian expert
509 Points
10 years ago

when x2006 is divided by x2-1  then

for first time remainder is x2004 ,

on further division remainder is x2002

thenx2000 , x1998 , x1996 ......... .................x4 ,x2

now at the end we have only x2 now dividing this by x2-1 will give

1 as remainder......

if still u have confusion then ask

Souradeep Majumder
80 Points
10 years ago

remainder is 1................   think for x4,x6 you will find the result automatically..........

 

approve my answer......

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