AP EAMCET · Maths · Quadratic Equation
What is the quotient of \(x^3-5 x^2+2 x+7\) when divided with \((x-1)\) ?
- A \(x^2+4 x-2\)
- B \(x^2-4 x+2\)
- C \(x^2+4 x+2\)
- D \(x^2-4 x-2\)
Answer & Solution
Correct Answer
(D) \(x^2-4 x-2\)
Step-by-step Solution
Detailed explanation
On dividing \(x^3-5 x^2+2 x+7\) with \(x-1\), we have \(x-1) \frac{x^2-4 x-2}{x^3-5 x^2+2 x+7}\) \(x^3-x^2\) \(\frac{-+}{-4 x^2+2 x+7}\) \(-4 x^2+4 x\) \(\frac{+-}{-2 x+7}\) \(-2 x+2\) \(\frac{+-}{5}\) \(\therefore\) The required quotient is \(\left(x^2-4 x-2\right)\) Hence,…
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