SAT question for practice I don't understand. Help?

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1 Answer
May 2, 2018

B) y=x^2(x-2)(x+3) is the right choice.

Explanation:

Note that the graph intersects the X-"Axis" in the points

(-3,0), (0,0) and (2,0).

:." when "x=-3,x=0, and, x=2, y=0.

So, choice is between A) and B).

But, in case of A), we find that,

when x=-2, y=(-2)(-2-2)(-2+3)=8 gt 0,

whereas, the graph shows y(-2) lt 0.

Hence, B) y=x^2(x-2)(x+3) is the right choice.