medium · SAT Math
A polynomial p has a zero at x = 3 with multiplicity 2 and a zero at x = -4 with multiplicity 1, and p has no other zeros.
Which of the following correctly describes the behavior of the graph of y = p(x) in the xy plane at each of its x intercepts?
- The graph touches the x axis at both 3 and -4 without crossing at either.
- The graph crosses the x axis at both 3 and -4.
- The graph touches the x axis at 3 without crossing, and crosses the x axis at -4.
- The graph crosses the x axis at 3, and touches the x axis at -4 without crossing.
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