Find the X-Intercepts of the Polynomial Function $$f ( x ) = - x ^ { 2 } ( x + 7 ) \left( x ^ { 2 } + 1 \right)$$

question 294

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.
- $$f ( x ) = - x ^ { 2 } ( x + 7 ) \left( x ^ { 2 } + 1 \right)$$

• A) 0 , touches the \(x\)-axis and turns around;
• \(- 7\), crosses the \(x\)-axis
• B) 0 , touches the \(x\)-axis and turns around;
• 7 , crosses the \(x\)-axis
• C) 0 , touches the \(x\)-axis and turns around;
• \(- 7\), crosses the \(x\)-axis;
• \(- 1\), touches the \(x\)-axis and turns around
• D) 0 , touches the \(x\)-axis and turns around;
• \(- 7\), crosses the x-axis;
• \(- 1\), crosses the \(x\)-axis;
• 1 , crosses the \(x\)-axis;