What Must be added to `x^4 + 2 x^3 - 2 x^2 + x -1` so that the result is exactly divisible `x^2+2x-3`

What must be added to x^(4)+2x^(3)-2x^(2)+x-1 so that the result is exactly divisible by x^(2)+2x-3.

What must be added to 2x^(4)-5x^(3)+2x^(2)-x-3 so that the result is exactly divisible by ( x-2 ) ?

What must be added to x^(3)-3x^(2)-12x+19 so that the result is exactly divisibly by x^(2)+x-6?

What must be added to x^(4)+2x^(3)-2x^(2)+x-1 so that the resulting polynomial is exactly divisible by x^(2)+2x-3

What must be added to 3x^(3)+x^(2)-22x+9 so that the result is exactly divisible by 3x^(2)+7x-6?

What must be subtracted from 4x^(4)-2x^(3)-6x^(2)+x-5 so that the result is exactly divisible by 2x^(2)+x-1

What must be subtracted from (x^(4)+2x^(3)-2x^(2)+4x+6) so that the result is exactly divisible by (x^(2)+2x-3)?

What must be subtracted from (x^(4)+2x^(3)-2x^(2)+4x+6) so that the result is exactly divisible by (x^(2)+2x-3) ?

What must be added to f(x) = x^4 + 2x^(3) - 2x^(2) +x-1 so that the resulting polynomial is divisible by x^(2) + x+1 ?

what must be subtracted from 4x^(4)-2x^(3)-6x^(2)+x-5 so that the result is exactly divisible by 4x^(2)+2x