What minimum must be added to `2x^3-3x^2+6x+7` so that the resulting polynomial will be divisible by `x^2-4x+8`?

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 f(x)=4x^4+2x^3-2x^2+x-1 so that the resulting polynomial is divisible by g(x)=x^2+2x-3.

What must be added to p(x) =4x^(4)-5x^(3)-39x^(2)-46x-2 , so that the resulting polynomial is divisible by g(x) =4x^(2)+7x+2 ?

What must be subtracted from 8x^4+14 x^3-2x^2+7x-8 so that the resulting polynomial is exactly divisible by 4x^2+3x-2.

What must be subtracted from 8x^4+14 x^3-2x^2+7x-8 so that the resulting polynomial is exactly divisible by 4x^2+3x-2.

Find the number which should be added to x^2+ x +3 so that the resulting polynomial is completely divisible by (x + 3).

What number should be added to 3x^3-5x^2+6x so that when resulting polynomial is divided by x -3. the remainder is 8?

Which number should be added to 2x^(3)-3x^(2)+x so that when the resulting polynomial is divided by x-2, the remainder is 3?

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

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