For the Polynomial, List Each Real Zero and Its Multiplicity $$f ( x ) = \left( x + \frac { 1 } { 4 } \right) ^ { 2 } \left( x ^ { 2 } + 7 \right) ^ { 3 }$$

question 312

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.
- $$f ( x ) = \left( x + \frac { 1 } { 4 } \right) ^ { 2 } \left( x ^ { 2 } + 7 \right) ^ { 3 }$$

• A) \(- \frac { 1 } { 4 }\), multiplicity 2 , touches \(x\)-axis
• B) \(- \frac { 1 } { 4 }\), multiplicity 2 , touches \(x\)-axis; \(- 7\), multiplicity 3 , crosses \(x\)-axis
• C) \(- \frac { 1 } { 4 }\), multiplicity 2 , crosses \(x\)-axis
• D) \(\frac { 1 } { 4 }\), multiplicity 2 , touches \(x\)-axis; 7 , multiplicity 3 , crosses \(x\)-axis