Math, asked by dikshaMaurya, 7 months ago

find the remainder when x3 +3x2 +3x +1 is divided by x by remainder theorem

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Answered by shalinikalakota
6

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Answered by Anonymous
27

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find the remainder when x3 +3x2 +3x +1 is divided by x

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 \bf \: x) {x}^{3}  + 3 {x}^{2}  + 3x + 1( {x}^{2}  + 3x  + 3\\   \bf \:  \:  \:  \: \:  {x}^{3}   \\  \bf \: \:  \: ......................... \\ \bf  \: \:  \:  \:  \:   \:  \:  \:  \:  \:  \:  \:  \:  \: 3 {x}^{2}  + 3x + 1 \\  \bf  \: \:  \:  \:  \:   \:  \:  \:  \:  \:  \:  \:  \:  \:3 {x}^{2}   \\  \:  \:  \:  \:  \:  \:  \:  \:  \: ............. ................ \\ \bf  \: \:  \:  \:  \:   \:  \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  3x + 1 \\ \bf  \: \:  \:  \:  \:   \:  \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \: 3x \\ \bf  \: \:  \:  \:  \:   \:  \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \: .................... \\ \bf  \: \:  \:  \:  \:   \:  \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  1 \: remainder

  • since remainder gets 1
  • and quotient = 2x square+3x+3
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