SOLUTION: 4.2 Find the zeros for the given 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

Question 1013092: 4.2
Find the zeros for the given 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^3 -12x^2+36x
The zeros are:
The multiplicity at the leftmost zero is:
The multiplicity at the rightmost zero is:
Does the graph (on the leftmost zero) cross the x-axis or touch the x-axis and turn around:
Does the graph (on the rightmost zero) cross the x-axis or touch the x-axis and turn around:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Find the zeros for the given 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.
....set

The zeros are:

The multiplicity at the leftmost zero is:
=>=>
The multiplicity at the rightmost zero is:

Does the graph (on the leftmost zero) cross the x-axis or touch the x-axis and turn around:
the graph cross the x-axis
Does the graph (on the rightmost zero) cross the x-axis or touch the x-axis and turn around:
the graph touch the x-axis and turn around

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