AP EAMCET · Maths · Quadratic Equation
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
- A \(-41 x-3\)
- B \(41 x+3\)
- C \(41 x-3\)
- D \(-41 x+3\)
Answer & Solution
Correct Answer
(B) \(41 x+3\)
Step-by-step Solution
Detailed explanation
\(\begin{array}{r}\left.x^2-x-3\right) 2 x^5-3 x^4+5 x^3-3 x^2+7 x-9\left(2 x^3-x^2\right. \\ +10 x+4\end{array}\) \(\frac{-2 x^5 \mp 2 x^4 \mp 6 x^3}{-x^4+11 x^3-3 x^2+7 x-9}\) \(\frac{\mp x^4 \pm x^3 \pm 3 x^2}{10 x^3-6 x^2+7 x-9}\)…
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