Using long division to find the quotient and remainder when 4x^4+2x^2-2 is divided by x^2+2

4x^4 + 2 x^2 - 2     | x^2+2
-4x^4 - 8 x^2             4x^2 -6 

/        - 6x^2 - 2
          6x^2  +12
         
           /        10
4x^4+2x^2-2= (4x^2 -6)(x^2+2) +10
the quotient is 4x^2-6
the remainder is 10

The method to find the female dormitory is 2-d=800