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Analyze the polynomial function f(x)=x^2(x-5).

label Algebra
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The smaller zero of the function is of multiplicity __, so the graph of f ___ the x-axis at x=__. The larger zero of the function is of multiplicity ___, so the graph of f ___ the x-axis at x=____.

Dec 1st, 2014

Zeros:

f(x)=0

f(x) = x² (x-5) = 0

      x² = 0 => x=0 multiplicity 2 (Even multiplicity, the graph touches the x-axis but doesn't cross it)

       x-5=0 => x=5 multiplicity 1 (Odd multiplicity, the graph crosses the x-axis)


Dec 2nd, 2014

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