Splitting Fields - Abstract Algebra
Card 1 of 4
What definition does the following correlate to?
If
is a prime, then the following polynomial is irreducible over the field of rational numbers.

What definition does the following correlate to?
If is a prime, then the following polynomial is irreducible over the field of rational numbers.
Tap to reveal answer
The Eisenstein's Irreducibility Criterion is the theorem for which the given statement is a corollary to.
The Eisenstein's Irreducibility Criterion is as follows.

is a polynomial with coefficients that are integers. If there is a prime number
that satisfy the following,

Then over the field of rational numbers
is said to be irreducible.
The Eisenstein's Irreducibility Criterion is the theorem for which the given statement is a corollary to.
The Eisenstein's Irreducibility Criterion is as follows.
is a polynomial with coefficients that are integers. If there is a prime number that satisfy the following,
Then over the field of rational numbers is said to be irreducible.
← Didn't Know|Knew It →
What definition does the following correlate to?
If
is a prime, then the following polynomial is irreducible over the field of rational numbers.

What definition does the following correlate to?
If is a prime, then the following polynomial is irreducible over the field of rational numbers.
Tap to reveal answer
The Eisenstein's Irreducibility Criterion is the theorem for which the given statement is a corollary to.
The Eisenstein's Irreducibility Criterion is as follows.

is a polynomial with coefficients that are integers. If there is a prime number
that satisfy the following,

Then over the field of rational numbers
is said to be irreducible.
The Eisenstein's Irreducibility Criterion is the theorem for which the given statement is a corollary to.
The Eisenstein's Irreducibility Criterion is as follows.
is a polynomial with coefficients that are integers. If there is a prime number that satisfy the following,
Then over the field of rational numbers is said to be irreducible.
← Didn't Know|Knew It →
What definition does the following correlate to?
If
is a prime, then the following polynomial is irreducible over the field of rational numbers.

What definition does the following correlate to?
If is a prime, then the following polynomial is irreducible over the field of rational numbers.
Tap to reveal answer
The Eisenstein's Irreducibility Criterion is the theorem for which the given statement is a corollary to.
The Eisenstein's Irreducibility Criterion is as follows.

is a polynomial with coefficients that are integers. If there is a prime number
that satisfy the following,

Then over the field of rational numbers
is said to be irreducible.
The Eisenstein's Irreducibility Criterion is the theorem for which the given statement is a corollary to.
The Eisenstein's Irreducibility Criterion is as follows.
is a polynomial with coefficients that are integers. If there is a prime number that satisfy the following,
Then over the field of rational numbers is said to be irreducible.
← Didn't Know|Knew It →
What definition does the following correlate to?
If
is a prime, then the following polynomial is irreducible over the field of rational numbers.

What definition does the following correlate to?
If is a prime, then the following polynomial is irreducible over the field of rational numbers.
Tap to reveal answer
The Eisenstein's Irreducibility Criterion is the theorem for which the given statement is a corollary to.
The Eisenstein's Irreducibility Criterion is as follows.

is a polynomial with coefficients that are integers. If there is a prime number
that satisfy the following,

Then over the field of rational numbers
is said to be irreducible.
The Eisenstein's Irreducibility Criterion is the theorem for which the given statement is a corollary to.
The Eisenstein's Irreducibility Criterion is as follows.
is a polynomial with coefficients that are integers. If there is a prime number that satisfy the following,
Then over the field of rational numbers is said to be irreducible.
← Didn't Know|Knew It →