Solve the Problem $f ( x ) = x ^ { 2 } ( x - 2 ) ^ { 2 } ( x - 1 ) ^ { 2 }$

question 61

Multiple Choice

Solve the problem.

-Which of the following polynomial functions might have the graph shown in the illustration below?

• A) \(f ( x ) = x ^ { 2 } ( x - 2 ) ^ { 2 } ( x - 1 ) ^ { 2 }\)
• B) \(f ( x ) = x ( x - 2 ) ^ { 2 } ( x - 1 )\)
• C) \(f ( x ) = x ^ { 2 } ( x - 2 ) ( x - 1 )\)
• D) \(f ( x ) = x ( x - 2 ) ( x - 1 ) ^ { 2 }\)