if it has x intercepts at r1,r2,r3 then the factored form is
f(x)=a(x-r1)(x-r2)(x-r3)
where a is a constant not equal to 0
so
intercepts of -2,0, 1
f(x)=a(x-(-2))(x-0)(x-1)
f(x)=a(x+2)(x)(x-1)
passes through the point (2,16)
find a buy subsituting the point (2,16) into it
16=a(2+2)(2)(2-1)
16=a(4)(2)(1)
16=8a
2=a
the function is
f(x)=2(x+2)(x)(x-1)