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A polynomial $p$ has zeros when $x=0, x=-\frac{1}{6}$, and $x=-3$.$\newline$What could be the equation of $p$ ?$\newline$Choose $1$ answer:$\newline$(A) $p(x)=x(6 x+1)(x+3)$$\newline$(B) $p(x)=x(6 x-1)(x-3)$$\newline$(C) $p(x)=x\left(\frac{1}{6} x\right)(x+3)$$\newline$(D) $p(x)=x\left(-\frac{1}{6} x\right)(x-3)$