Example
Ex:
Find the quotient and remainder when 2x
5
– 3x
4
+ 5x
3
– 3x
2
+ 7x – 9 is divided by (x
2
– x – 3).
Sol:
By synthetic division, quotient = 2x
3
– x
2
+ 10x + 4, remainder = 41x + 3.