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 Answer: Option 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