POLQ 3 | Lesson 3 | Reflect

Did you discover that a zero with an even multiplicity never crosses the x-axis, but an odd multiplicity does? Even multiplicity represents a squared factor which is always positive; therefore the function can not change from positive to negative by crossing the x-axis into a different quadrant.

Answers are: 1-a    2-c    3-b    4-d

If you have access to a graphing utility, graph some other multiplicities of the same zeros as were in the examples.

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