college algebra

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find the zero's for the following polynomial 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.
f(x)=5(x-2)(x+4)^3
I am having trouble with this. Can you please show me how you got the answer. Thanks.

  • college algebra -

    x = 2 , multiplicity: 1
    x = -4 , multiplicity : 3

    crosses at both x=2 and x=-4 (odd multiplicities )

  • college algebra -

    What is the value of the zero with the smaller multiplicity from that same equation?

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