SOLUTION: 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.

Question 1086958: 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)=( x + 1/4 )^2 (x-1)^5
1) 1/4 multiplicity 2, touches the x-axis and turns around;�
-1, multiplicity 5, crosses the x-axis.
2) -1/4 multiplicity 2, crosses the x-axis;1, multiplicity 5, touches the x-axis and turns around
3) 1/4 , multiplicity 2, crosses the x-axis;�
-1, multiplicity 5, touches the x-axis and turns around
4) -1/4 multiplicity 2, touches the x-axis and turns around;
1, multiplicity 5, crosses the x-axis.
thank you for help

Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
.
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)=( x + 1/4 )^2 (x-1)^5

1) 1/4 multiplicity 2, touches the x-axis and turns around;�
   -1, multiplicity 5, crosses the x-axis.                      - WRONG.

2) -1/4 multiplicity 2, crosses the x-axis;
   1, multiplicity 5, touches the x-axis and turns around       - WRONG                                        

3) 1/4 , multiplicity 2, crosses the x-axis;�
   -1, multiplicity 5, touches the x-axis and turns around      - WRONG.

4) -1/4 multiplicity 2, touches the x-axis and turns around;
   1, multiplicity 5, crosses the x-axis.                       - CORRECT.


thank you for help                                              - Happy learning !!

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