Find the remainder when X

^{3}– 2X^{2}+ 3X – 3 is divided by X^{2}+ 1-
**A.**

2X – 1 -
**B.**

X + 3 -
**C.**

2X + 1 -
**D.**

X – 3

##### Correct Answer: Option A

##### Explanation

X^{2} + 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