Divide P(x) = X^4 - 3x^2 + 4x + 5 By G(x) = X^2 + 1 - Toppr

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SolveGuidesJoin / LoginUse appLogin0You visited us 0 times! Enjoying our articles? Unlock Full Access!Standard XIIMathematicsQuestionDivide p(x)=x4−3x2+4x+5 by g(x)=x2+1−x.
  1. Q=x2+x−5,R=0
  2. Q=x2+x−3,R=8
  3. Q=x2+x−3,R=0
  4. Q=x2+x−5,R=8
AQ=x2+x−5,R=0BQ=x2+x−3,R=8CQ=x2+x−3,R=0DQ=x2+x−5,R=8Open in AppSolutionVerified by Toppr

The polynomial p(x)=x4−3x2+4x+5 can be divided by g(x)=x2−x+1 as shown below:3.pngClearly, the quotient is x2+x−3 and the remainder is 8.Hence, Q=x2+x−3 and R=8.

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