The polynomial f f\,f is defined by f(x)=2x3+5x2−4x−3f(x)=2x^3+5x^2-4x-3f(x)=2x3+5x2−4x−3.
Find constants AAA, BBB, C C\,C and D D\,D such that f(x)=(x−2)(Ax2+Bx+C)+Df(x)=(x-2)(Ax^2+Bx+C)+Df(x)=(x−2)(Ax2+Bx+C)+D.