Find the remainder when X3 – 2X2 + 3X – 3 is divided by X2 + 1
-
2X - 1
- X + 3
- 2X + 1
- X - 3
The correct answer is: 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
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