Solve the Problem $f ( x ) = - x ^ { 4 } + x ^ { 3 } + 8 x ^ { 2 } - 12 x$

question 44

Multiple Choice

Solve the problem.
-The graph of $f ( x ) = - x ^ { 4 } + x ^ { 3 } + 8 x ^ { 2 } - 12 x$ is shown below. Use the graph to factor $f ( x )$ .

• A) \(f ( x ) = - x ( x - 2 ) ( x + 3 ) ^ { 2 }\)
• B) \(f ( x ) = - x ( x + 3 ) ( x - 2 ) ^ { 2 }\)
• C) \(f ( x ) = - x ( x - 3 ) ( x + 2 ) ^ { 2 }\)
• D) \(f ( x ) = x ( x + 3 ) ( x - 2 ) ^ { 2 }\)

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