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Question: Answered & Verified by Expert
The remainder when the polynomial $2 x^5-3 x^4+5 x^3-3 x^2+7 x-9$ is divided by $x^2-x-3$ is
MathematicsQuadratic EquationAP EAMCETAP EAMCET 2022 (07 Jul Shift 1)
Options:
  • A $-41 x-3$
  • B $41 x+3$
  • C $41 x-3$
  • D $-41 x+3$
Solution:
1085 Upvotes Verified Answer
The correct answer is: $41 x+3$
$\begin{array}{r}\left.x^2-x-3\right) 2 x^5-3 x^4+5 x^3-3 x^2+7 x-9\left(2 x^3-x^2\right. \\ +10 x+4\end{array}$


$\therefore$ Remainder $=41 x+3$

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