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

question 101

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.
-Crosses the $x$ -axis at $- 1,0$ , and 3 ; lies above the $x$ -axis between $- 1$ and 0 ; lies below the $x$ -axis between 0 and 3 .

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

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