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

Question

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

Harsh Patodia · Answer

X 3 -X=0 X(X 2 -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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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

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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

1 Answers

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