Find a Polynomial Function F(x) of Least Possible Degree Having $f ( x ) = 4 ( x + 1 ) ^ { 2 } ( x - 1 ) ^ { 2 }$

Multiple Choice

Find a polynomial function f(x) of least possible degree having the graph shown.
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A) $f ( x ) = 4 ( x + 1 ) ^ { 2 } ( x - 1 ) ^ { 2 }$
B) $f ( x ) = - 4 ( x + 1 ) ( x - 1 )$
C) $f ( x ) = 4 ( x + 1 ) ( x - 1 )$
D) $f ( x ) = - 4 ( x + 1 ) ^ { 2 } ( x - 1 ) ^ { 2 }$