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college algebra

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given the following polynomial find the zero and multiply of each

were the graph touches the x axis
number of turning points
fx =(x-4)(x^2-25)

  • college algebra - ,

    0 = (x-4)(x+5)(x-5)

    Set each equal to zero and solve for x. That will give you three different zeros. Each occurs only once.

  • college algebra - ,

    f(x) = (x-4)(x-5)(x+5)
    3 roots, each of multiplicity 1
    The graph crosses the axis at each root, so it has to turn around 2 times.

  • college algebra - ,

    4
    -5
    5

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