to find the x intercepts make f(x)=0
[tex]f(x)=3\cdot(x+4)\cdot(x-6)[/tex][tex]0=3\cdot(x+4)\cdot(x-6)[/tex]since this is a product both of the factors involving x should be equal to 0
[tex]\begin{gathered} x+4=0 \\ x=-4 \\ x-6=0 \\ x=6 \end{gathered}[/tex]the x-intercepts of the function are
[tex](-4,0)\text{ and (6,0)}[/tex]