What does it mean if the graph of a function crosses the x-axis?
Zeros & Multiplicity (Alg 2 Friendly)

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Mathematics
•
10th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The zero has an odd multiplicity (1, 3).
2.
FLASHCARD QUESTION
Front
What does it mean if the graph does not cross the x-axis?
Back
The zero has an even multiplicity (2, 4).
3.
FLASHCARD QUESTION
Front
What does the degree of a polynomial determine?
Back
The maximum number of roots.
4.
FLASHCARD QUESTION
Front
What are the zeros of the polynomial function y = x(x - 6)(x + 5)?
Back
0, 6, -5
5.
FLASHCARD QUESTION
Front
What are the roots of the function y = (x + 2)(x - 7)^3?
Back
-2, 7 with multiplicity 3.
6.
FLASHCARD QUESTION
Front
Define 'zero' in the context of polynomial functions.
Back
A zero is a value of x that makes the polynomial equal to zero.
7.
FLASHCARD QUESTION
Front
What is multiplicity in relation to zeros?
Back
Multiplicity refers to the number of times a particular zero is repeated.
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