Determine the number of extrema of a polynomial

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Mathematics
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9th - 10th Grade
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Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of expressing a polynomial in standard form?
To simplify calculations
To identify extrema and zeros
To make it easier to graph
To reduce the degree of the polynomial
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does the degree of a polynomial relate to its zeros?
The degree equals the total number of real and complex zeros
The degree is unrelated to the number of zeros
The degree equals the number of real zeros
The degree is always one less than the number of zeros
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the maximum number of extrema a polynomial can have?
Half the degree of the polynomial
Twice the degree of the polynomial
One less than the degree of the polynomial
Equal to the degree of the polynomial
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is graphing important in determining the number of extrema?
It helps visualize the polynomial's behavior
It confirms the polynomial's degree
It simplifies the polynomial
It eliminates complex zeros
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does an odd multiplicity at a zero indicate?
The zero is a local maximum
The graph crosses the x-axis at the zero
The zero is not an extrema
The graph bounces at the zero
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many extrema are identified in the practical example?
Two
Three
Four
Five
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of even multiplicity at a zero?
The graph crosses the x-axis
The graph bounces at the zero
The zero is a local minimum
The zero is a point of inflection
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