When the polynomial x3+3x2+3x+1 is divided by x+1, the remainder is
A
1
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B
8
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C
0
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D
−6
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Solution
The correct option is C0 wehavetodividex3+3x2+3x+1byx+1Nowlongdivisionmethodx+1)x3+3x2+3x+1(x2+2x+1x3+x2−−−−−−−−−−−−−−2x2+3x+12x2+2x−−−−−−−−−−−−−−x+1x+1−−−−−−−−−−−−−−0Theremainderis0Hence,theoptionCisthecorrectanswer.