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Graphing Polynomial Functions

Question 21 • FL-1200330-Algebra 2 CR

If a zero is [___], then the graph of its function only touches the x–axis at that zero.

Answer
A
of odd multiplicity
B
of even multiplicity

Explanation

A zero with even multiplicity makes the function’s graph touch the x-axis and turn back rather than cross through it. For example, near a zero of multiplicity 2, the graph behaves like y = x², which stays on the same side of the x-axis on both sides of the zero. So the correct choice is “of even multiplicity.”

AI-written and checked against the verified answer.

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