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# Find the Zeros for the Polynomial Function and Give the Multiplicity

Question 186
Multiple Choice
Multiple Choice

## Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses thex-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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