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` ?

Solve the following questions : What must be added to the polynomial f(x) = x^4 + 2x^3 - 2x^2 + x - 1 so that the resulting the polynomial is exactly divisible by x^2 + 2x - 3 .

What must be added to the polynomial P(x)= x^(4)+2x^(3)-2x^(2)+x-1 So that the resulting polynomial is excatly divisible by x^(2)+x-3

What must be subtracted from the polynomial f(x)=x^4+2x^3-13 x^2-12 x+21 so that the resulting polynomial is exactly divisible by x^4-4x+3 ?

What must be subtracted from the polynomial f(x)=x^(4)+2x^(3)-13x^(2)-12x+21 so that the resulting polynomial is exactly divisible by x^(4)-4x+3?

What must be added to polynomial 2x^(3)+9x^(2)-5x-15 so that the resulting polynomial is exactly divisible by 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 subtracted from the polynomial p(x)= x^(3)+13x^(2)+35x+50 , so that the resulting polynomial is exactly divisible by g(x)= x^(2)+11x+10 ?

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 polynomial is exactly 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 ?