Question $4.$ Let $F(x)=3x^2-4x5.$ If $h0,$ then the difference quotient can be simplified as

$\frac{F(xh)-F(x)}{h}=AhBxC$

where $A,B,$ and $C$ are constants. $($Note: It is possible for one or more of these constants to be $0.)($a$)$ Simplify the difference quotient to find the constants $A,B,$ and $C.$

$($b$)$ Use the simplified expression, found in part $($a$),$ to find $F^{\text{'}}(x)=\underset{h0}{lim}\frac{F(xh)-F(x)}{h}.$

$($c$)$