Answer:
[tex]f(x)=x^3-7x^2-6x+72[/tex]
Step-by-step explanation:
[tex]f(x)=a(x-p)(x-q)(x-r)\\\\f(x)=1(x-6)(x+3)(x-4)\\\\f(x)=(x^2-3x-18)(x-4)\\\\f(x)=x^3-4x^2-3x^2+12x-18x+72\\\\f(x)=x^3-7x^2-6x+72[/tex]
This is because [tex]x=6[/tex] is the solution to [tex]x-6=0[/tex], [tex]x=-3[/tex] is the solution to [tex]x+3=0[/tex], and [tex]x=4[/tex] is the solution to [tex]x-4=0[/tex].
