What must be subtracted from `x^(4)+3x^(3)+4x^(2)-3x-6` to get `3x^(3)+4x^(2)-x+3`

What must be subtracted from 2x^(4) + 4x^(2) -3x+7 to get 3x^(3) -x^(2)+2x +1?

What must be subtracted from 2x^(4 ) + 4x^(2) - 3x + 7 to get 3x^(3) - x^(2) + 2x + 1 ?

What must be subtracted from 19x^(4) + 2x^(3) + 30x - 37 to get 8x^(4) + 22x^(3) - 7x - 60 ?

What must be subtracted from 3x^(3) - 5x^(2) - x+2 " to get " 4x^(3) + 3x - 5 ?

What must be subtracted from 2x^(2)-3x+1 to get x^(2)+x-2 ?

What must be added to x^(4)-x^(3)+x^(2)-5x to get x^4-x^2+4?

What must be added to x^(4) -3x^(2) +2x+ 6 to get x^(4) -2x^(3) -x+ 8?

What must be (a) subtracted from (b) added to f(x) = 8x^(4) + 14 x^(3) - 2x^(2) + 7 x - 8 so that resulting polynomial is exactly divisible by 4x^(2) + 3x - 2 ?

What should be subtracted from -7x^(3)+2x^(2)+8 to obtain -4x^(2)+9x-6