\(A.\left(2x-5\right)=2x^3-7x^2+9x-10\)
\(A.\left(2x-5\right)=2x^3-5x^2-2x^2-5x-4x-10\)
\(A.\left(2x-5\right)=x^2.\left(2x-5\right)-x.\left(2x-5\right)+2.\left(2x-5\right)\)
\(A.\left(2x-5\right)=\left(x^2-x+2\right).\left(2x-5\right)\Rightarrow A=x^2-x+2\)