What effect do even multiplicities have on the x-axis?
Polynomial Zeros and Multiplicity

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•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
Back
Even multiplicities cause the graph to touch the x-axis and bounce back.
2.
FLASHCARD QUESTION
Front
What does it mean if a zero crosses the x-axis?
Back
A zero that crosses the x-axis indicates an odd multiplicity.
3.
FLASHCARD QUESTION
Front
What does it mean if a zero turns at the x-axis?
Back
A zero that turns at the x-axis indicates an even multiplicity.
4.
FLASHCARD QUESTION
Front
What is the factored form of a polynomial?
Back
The factored form expresses a polynomial as a product of its linear factors.
5.
FLASHCARD QUESTION
Front
What are the roots of the polynomial function y = (x + 2)(x - 7)^3?
Back
The roots are -2 and 7 with multiplicity 3.
6.
FLASHCARD QUESTION
Front
How do you determine the multiplicity of a root?
Back
The multiplicity of a root is determined by the exponent of the factor in the polynomial.
7.
FLASHCARD QUESTION
Front
What is the significance of a root with odd multiplicity?
Back
A root with odd multiplicity crosses the x-axis at that point.
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