SOLUTION: Find the zeros for the following polynomial function and give the multiplicity for each zero. For each zero, state whether the graph crosses the x-axis or touches the x-axis and tu

Question 935052: Find the zeros for the following polynomial function and give the multiplicity for each zero. For each zero, state whether the graph crosses the x-axis or touches the x-axis and turns around.

Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Zero of 4, multiplicity 1.
Zero of -6, multiplicity 3.

The zeros are the critical values. Touch or cross? Check the three intervals around the critical values.

Less than -6:
(-)(-)=(+), positive.

Between -6 and 4:
(-), and x=0 is a convenient test value.
negative.

Greater than 4:
Positive.

The graph of f(x) CROSSES the horizontal axis at the zeros of f.
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