Find the quotient and remainder when x^2+2 is divided by x-2.
We need to write x^2 + 2 as x^2 + 0x + 2
So we have
x + 2
x - 2 [ x^2 + 0x + 2 ]
x^2 - 2x
_______________
2x + 2
2x - 4
________
6
Quotient = x + 2
Remainder = 6 / (x - 2)