Find the remainder when X3 - 2X2 3X - 3 is divi... - JAMB Mathematics 2011 Question
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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