Question on: JAMB Mathematics - 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 Option: A

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

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