Which polynomial should be added to `x^2 -5x+3` to get the polynomial `2x^2 +3x-5`?

Which polynomial is to be added to 4m+2n+3 to get the polynomial 6m+3n+10 ?

Which polynomial is to be substracted from x^2+13x=7 to get the polynomial 3x^2+5x-4 ?

What should be added to x^3 - x^2 - x + 1 to get 5x^3 - 4x^2 + 3x - 1 ?

What should be added to x^(2)-x^(2) -x+1 to get 5x^(2) -4x^(2) +3x -1 ?

x^2-5x+6 . The degree of the polynomial is 2.

Factorize the polynomial. (x-5)^2-(5x-25)-24

Factorize the polynomial. (x-3)(x-4)^2(x-5)-6

The question based on the opportunity to express one's opinion. Answer the following questions , with reasons, based on the quadratic equation x^2-2x-5=0 Which term should be added to make the polynomial x^2-2x a perfect square?