
Algebra Quiz
Authored by Kathlyn Macaburas
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7th Grade

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15 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a field in mathematics?
A collection of random symbols
A type of polynomial
A commutative ring with unity where every nonzero element is a unit
A set of numbers with no operations
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the theorem 'Finite Integral Domains Are Fields' state?
All finite sets are fields
Finite integral domains are not fields
Only infinite sets can be fields
Finite integral domains are fields
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a polynomial ring?
A set of numbers
A ring of formal symbols over a commutative ring
A type of field
A collection of integers
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is an extension field?
A field that contains another field
A field with no elements
A field with only one element
A type of polynomial
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does it mean for a polynomial to split in an extension field?
It has no roots
It has roots in the extension field
It is a constant polynomial
It is irreducible
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of a polynomial?
A polynomial with all coefficients equal to zero
A polynomial that represents the slope
A polynomial that has no roots
A polynomial with no terms
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the criterion for multiple zeros of a polynomial?
It is a perfect field
It is a constant polynomial
It has a common factor of positive degree
It has no common factors
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