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Find the remainder when X3 - 2X2 + 3X - 3 is divided by X2...

Mathematics
JAMB 2011

Find the remainder when X3 - 2X2 + 3X - 3 is divided by X2 + 1
  • A. 2X - 1
  • B. X + 3
  • C. 2X + 1
  • D. X - 3
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Correct Answer: Option A
Explanation
X2 + 1 \(\frac{X - 2}{\sqrt{X^3 - 2X^2 + 3n - 3}}\)

= \(\frac {- 6X^3 + n}{-2X^2 + 2X - 3}\)

= \(\frac{(-2X^2 - 2)}{2X - 1}\)

Remainder is 2X - 1

There is an explanation video available below.


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Explanation Video

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JAMB CBT Mobile App 2025 - Free Download
JAMB CBT Software 2025 - Free Download
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 127076
JAMB CBT 2025 - Candidates, Schools, Centres, Resellers - Get Ready!
JAMB CBT 2025 - Candidates, Schools, Centres, Resellers - Get Ready!
JAMB CBT Mobile App 2025 - Free Download
JAMB CBT Software 2025 - Free Download
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 127076