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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