Find a Polynomial Function F(x) of Least Possible Degree Having $f ( x ) = \frac { 1 } { 2 } ( x + 2 ) ( x - 3 )$

Multiple Choice

Find a polynomial function f(x) of least possible degree having the graph shown.
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A) $f ( x ) = \frac { 1 } { 2 } ( x + 2 ) ( x - 3 )$
B) $f ( x ) = \frac { 1 } { 2 } ( x - 2 ) ( x + 3 )$
C) $f ( x ) = \frac { 1 } { 2 } ( x + 2 ) ( x - 3 ) ^ { 2 }$
D) $f ( x ) = \frac { 1 } { 2 } ( x - 2 ) ( x + 3 ) ^ { 2 }$