Find the X-Intercepts of the Polynomial Function $$f ( x ) = x ^ { 4 } - 36 x ^ { 2 }$$

question 95

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.
- $$f ( x ) = x ^ { 4 } - 36 x ^ { 2 }$$

• A) 0 , touches the \(x\)-axis and turns around;
• 36 , touches the \(x\)-axis and turns around
• B) 0 , crosses the \(x\)-axis;
• 6, crosses the \(x\)-axis;
• \(- 6\), crosses the \(x\)-axis
• C) 0 , touches the \(x\)-axis and turns around;
• 6 , crosses the \(x\)-axis;
• \(- 6\), crosses the \(x\)-axis
• D) 0 , touches the \(x\)-axis and turns around;
• 36 , crosses the \(x\)-axis