Find the Zeros for the Polynomial Function and Give the Multiplicity

question 407

Multiple Choice

Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses
the x-axis or touches the x-axis and turns around, at each zero.
- $$f ( x ) = \left( x + \frac { 1 } { 5 } \right) ^ { 2 } ( x + 3 ) ^ { 3 }$$

• A) \(- \frac { 1 } { 5 }\), multiplicity 2 , touches the \(x\)-axis and turns around;
• \(- 3\), multiplicity 3 , crosses the \(x\)-axis.
• B) \(- \frac { 1 } { 5 }\), multiplicity 2 , crosses the \(x\)-axis;
• \(- 3\), multiplicity 3 , touches the \(x\)-axis and turns around
• C) \(\frac { 1 } { 5 }\), multiplicity 2 , touches the \(x\)-axis and turns around;
• 3 , multiplicity 3 , crosses the \(x\)-axis.
• D) \(\frac { 1 } { 5 }\), multiplicity 2 , crosses the \(x\)-axis;
• 3 , multiplicity 3 , touches the \(x\)-axis and turns around

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