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

What must be added to p(x0 =4x^(4)-5x^(3)-39x^(2)-46x-2 , so that the resulting polynomial is divisible by g(x) =4x^(2)+7x+3t^(2) ?

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 subtracted from x^3 - 6x^2 +13x – 6 so that the resulting polynomial is exactly divisible x^(2) +x+1 ?

What must be subtracted from 8x^(4)+14x^(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)+14x^(3)-2x^(2)+7x-8 so that the resulting polynomial is exactly divisible by 4x^(2)+3x-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 2x^(4)-5x^(3)+2x^(2)-x-3 so that the result is exactly divisible by ( x-2 ) ?

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