What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?

x – 6
x – 3
x + 1
x + 6

If the polynomial passes through r1,r2, r3 then the factors of the polynomial are
(x-r1), (x-r2), (x-r3)
so since it passes through x=-6, x=-5, and x=0
the factors are (x-(-6)), (x-(-5)), and (x-0)
the factors are (x+6), (x+5), and (x-0)

so the only one that is an option is x+6

answer is x+6