How does the multiplicity of a zero determine the behavior of the graph at that zero?

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asked Jul 14, 2022 228k views

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Zachary Scott · Answer 1 · 2022-07-19T13:37:37+0000

If the graph crosses the x-axis and appears almost linear at the intercept, it is a single zero. If the graph touches the x-axis and bounces off of the axis, it is a zero with even multiplicity. If the graph crosses the x-axis at a zero, it is a zero with odd multiplicity. The sum of the multiplicities is the degree

How does the multiplicity of a zero determine the behavior of the graph at that zero?

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