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A polynomial p has zeros when x=0, x=-1/6, and x=-3. what could be the equation of p?

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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.

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