For the Polynomial, List Each Real Zero and Its Multiplicity $$f ( x ) = \frac { 1 } { 5 } x ^ { 4 } \left( x ^ { 2 } - 3 \right)$$

question 60

Multiple Choice

For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at
each x -intercept.
- $$f ( x ) = \frac { 1 } { 5 } x ^ { 4 } \left( x ^ { 2 } - 3 \right)$$

• A) 0 , multiplicity 4 , touches \(x\)-axis
• B) 0 , multiplicity 4 , touches \(x\)-axis;
• \(\sqrt { 3 }\), multiplicity 1 , crosses \(x\)-axis;
• \(- \sqrt { 3 }\), multiplicity 1 , crosses \(x\)-axis
• C) 0 , multiplicity 4 , crosses \(x\)-axis;
• \(\sqrt { 3 }\), multiplicity 1 , touches \(x\)-axis;
• \(- \sqrt { 3 }\), multiplicity 1 , touches \(x\)-axis
• D) 0, multiplicity 4 , crosses \(x\)-axis