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]

Question

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]

vikas askiitian expert · Answer

when x 2006 is divided by x 2 -1 then for first time remainder is x 2004 , on further division remainder is x 2002 thenx 2000 , x 1998 , x 1996 ......... .................x 4 ,x 2 now at the end we have only x 2 now dividing this by x 2 -1 will give 1 as remainder...... if still u have confusion then ask

Souradeep Majumder · Answer

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

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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]

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