What Do You Know About Absolutely Irreducible Polynomials?

10 Questions  Settings  For one, the title is self explanatory; this quiz assess your knowledge of absolutely irreducible polynomials. In the field of mathematics, these are polynomials that are irreducible or indivisible over a complex numbe, the complex field, or every algebraic extension of their respective selves. In general, they are multivariate polynomials defined over the rational numbers.

• 1.
For a rational number to be absolutely irreducible, what field must it pass through?
• A.

Simple field

• B.

Complex field

• C.

Compound field

• D.

Multiple field

• 2.
For field K, how do we describe if the field is irreducible?
• A.

Algebraic extension of K

• B.

Geometric extension of K

• C.

Trigonometry rate of K

• D.

Multiple patterns of K

• 3.
What is the synonym of an absolutely irreducible algebraic set?
• A.

Algebraic variety

• B.

Geometric variety

• C.

Algebraic expression

• D.

Geometric expression

• 4.
Which algebraic group is the absolutely irreducible applied to?
• A.

Geometric representation

• B.

Algebraic representation

• C.

Linear representation

• D.

Random representation

• 5.
How do we represent the absolutely irreducible of an univariate polynomial of degrees greater or equal to 2?
• A.

In a linear form

• B.

In a geometric pattern

• C.

By polynomial

• D.

They have no absolutely irreducible value

• 6.
What do we call the decomposition of a multivariate polynomial as a product of absolutely irreducible polynomials?
• A.

Absolute factorization

• B.

Absolute decomposition

• C.

Absolute disintegration

• D.

Absolute computation

• 7.
How do we represent the absolutely irreducible algorithms?
• A.

Geometric progressions

• B.

Polynomials

• C.

Arithmetic progressions

• D.

Trigonometric rates

• 8.
What are absolutely irreducible polynomials also called?
• A.

Non-constant polynomials

• B.

Constant polynomials

• C.

Random polynomials

• D.

Fractional polynomials

• 9.
What does the property of irreducibility depend on?
• A.

Number of coefficients

• B.

Nature of coefficients

• C.

Type of coefficients

• D.

Value of coefficients

• 10.
What sole condition describes a univariate polynomial that is absolutely irreducible? Its degree must be...
• A.

4

• B.

3

• C.

2

• D.

1

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