Final answer:
The equation of the polynomial p can be found by using the given zeros (x=0, x=-1/6, and x=-3) and multiplying the factors together.
Step-by-step explanation:
The equation of the polynomial p can be found using the zeros given. Since the zeros are x = 0, x = -1/6, and x = -3, we know that the factors of the polynomial are (x - 0), (x + 1/6), and (x + 3). Multiplying these factors together gives us the equation of p:
p(x) = (x)(x + 1/6)(x + 3)
We can further simplify this equation if needed, but this is the basic form of the polynomial with the given zeros.