Find the X-Intercepts of the Polynomial Function $$f ( x ) = 5 x ^ { 2 } - x ^ { 3 }$$

question 527

Multiple Choice

Find the x-intercepts of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept.
- $$f ( x ) = 5 x ^ { 2 } - x ^ { 3 }$$

• A) 0 , touches the \(x\)-axis and turns around;
• 5 , crosses the \(x\)-axis
• B) 0 , crosses the \(x\)-axis;
• \(\sqrt { 5 }\), crosses the \(x\)-axis;
• \(- \sqrt { 5 }\), crosses the \(x\)-axis
• C) 0 , touches the \(x\)-axis and turns around;
• \(\sqrt { 5 }\), crosses the \(x\)-axis;
• \(- \sqrt { 5 }\), crosses the \(x\)-axis
• D) 0 , touches the \(x\)-axis and turns around;
• 5 , touches the \(x\)-axis and turns around

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