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
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
= \(\frac {- 6X^3 + n}{-2X^2 + 2X - 3}\)
= \(\frac{(-2X^2 - 2)}{2X - 1}\)
Remainder is 2X - 1
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