1) x^4+3x^2-4x-1 is divided by x^2-3. I don't know how to do it by the remainder therom but using long division you get -4x+17.
2) 9x^4-25x^2+10gx-g^2=0, when g = -7 or 2
When g = -7
9x4 -25x2 -70x -49 = 0
Don't know, tried all factors of -49, e.g. 1, -1, 7, -7, 49, -49 and none of...