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Question

Find the remainder when x 3+ 3x2 + 3x+1 is divided by x

And please explain

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Solution

Find remainder when x3+3x2 + 3x + 1 is divided by x
Apply remainder theorem
=>x =0
Replace x by 0 we get
=>x3+3x2 + 3x + 1
=>(0)3 + 3(0)2 + 3(0) + 1
=> 0+0 +0 + 1
=> 1
Remainder is 1

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