The bi-quadratic equation, two of whose roots are $1+i, \; 1-\sqrt{2}$, is :

Question

( A ) $x^4 + 4x^3 - 5x^2 + 2x - 2 =0$
( B ) $x^4 - 4x^3 + 5x^2 - 2x - 2 =0$
( C ) $x^4 + 4x^3 + 5x^2 -2x + 2 =0$
( D ) $x^4 + 4x^3 - 5x^2 + 2x+2=0$