Find the Zeros for the Polynomial Function and Give the Multiplicity

question 416

Multiple Choice

Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses
the x-axis or touches the x-axis and turns around, at each zero.
-Touches the $x$ -axis at 0 and crosses the $x$ -axis at 4 ; lies above the $x$ -axis between 0 and 4 .

• A) \(f ( x ) = - x ^ { 3 } + 4 x ^ { 2 }\)
• B) \(f ( x ) = x ^ { 3 } + 4 x ^ { 2 }\)
• C) \(f ( x ) = x ^ { 3 } - 4 x ^ { 2 }\)
• D) \(f ( x ) = - x ^ { 3 } - 4 x ^ { 2 }\)

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A quantitative relationship between two numbers showing how many times the first number contains the second or vice versa.