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Find the remainder when x 303 +x 302 +x 301 +x 300 ............+x+1 is divided by x 3 -x

Find the remainder when x303+x302+x301+x300............+x+1 is divided by x3-x
 

Grade:9

1 Answers

Harsh Patodia IIT Roorkee
askIITians Faculty 907 Points
3 years ago
X3-X=0
X(X2-1)=0
X=0,1,-1
NOW IF X=0 THE given expression is 1
If X=1 the given expression is=304
If x=-1 then it will be=0

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