(Q3)Divide 3x
2
-x
3
-3x+5 by x-1-x
2
and verify the division algorithm
-
-x
2
+x-1)
-
3
+
x
2
-
x+
-
3
+
2
-
+ - +
x
2
-
x+
x
2
-
x+
- + -
So, quotient=
- 2, remainder=
Now Dividend=Divisor×Quotient+Remainder
(-x
2
+x-1)(
-2)+
= - x
3
+3x
2
-3x+5
Clear