PIMSO 2022 - Mathematics - Grade 9 / Secondary 3 - National Round Question 13

Let $R$ and $F$ ($R,F\ne0$) be the roots of the equation $x^2-3x+2=0$. If $RF$ and $R-F$ are the roots of the equation $(c+1)x^2-sx+m=0$, find $c+1+s+m$.