Find the Zeros for the Polynomial Function and Give the Multiplicity

question 75

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.
- $$f ( x ) = 2 \left( x - \frac { 5 } { 2 } \right) ( x - 4 ) ^ { 3 }$$

• A) \(- \frac { 5 } { 2 }\), multiplicity 1 , touches the \(x\)-axis and turns around; \(- 4\), multiplicity 3 , touches \(x\)-axis and turns around
• B) \(\frac { 5 } { 2 }\), multiplicity 1 , touches the \(x\)-axis and turns around; 4 , multiplicity 3 , touches \(x\)-axis and turns around
• C) \(\frac { 5 } { 2 }\), multiplicity 1 , crosses \(x\)-axis; 4 , multiplicity 3 , crosses \(x\)-axis
• D) \(- \frac { 5 } { 2 }\), multiplicity 1 , crosses \(x\)-axis; \(- 4\), multiplicity 3 , crosses \(x\)-axis

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