Write the Equation of a Polynomial Function with the Given $x$

question 215

Multiple Choice

Write the equation of a polynomial function with the given characteristics. Use a leading coefficient of 1 or -1 and make
the degree of the function as small as possible.
-Touches the $x$ -axis at 0 and crosses the $x$ -axis at 3 ; lies below the $x$ -axis between 0 and 3 .

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

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