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

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

What must be added to the polynomial f(x)=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 a multiple of x^(2) + 2x - 3 ?

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 ?