The function is y=x(x-6)(x+3)(x+1). Therefore, option C is the correct answer.
Given that, a function with zeros at -3,-1, 0, and 6.
What are zeros of a function?
The zero of a function is any replacement for the variable that will produce an answer of zero. Graphically, the real zero of a function is where the graph of the function crosses the x‐axis; that is, the real zero of a function is the x‐intercept(s) of the graph of the function.
Now, x=-3⇒x+3, x=-1⇒x+1, x=0 and x=6⇒x-6.
The function is y=x(x-6)(x+3)(x+1).
The function is y=x(x-6)(x+3)(x+1). Therefore, option C is the correct answer.
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