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if x 2014 is divided by x 2 -1 then remainder is ?

if x2014 is divided by x2-1 then remainder is ?
 

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1 Answers

Latika Leekha
askIITians Faculty 165 Points
9 years ago
Hello student,
We have x2-1
First notice that x2 - 1 = 0 means that x2 = 1
Now, utilizing this in x2014, we have
x2014 = (x2)1007
= (1)1007
= 1.
Hence, the remainder is 1.

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