Mixing
The product of primitive polynomials is primitive.
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How can I prove that The product of primitive polynomials is primitive.
(Definition: A polynomial f(x) ∈ Q[x] is said primitive if the coefficients are integers and the maximum common divisor of the coefficients is 1)
polynomials
asked Jan 5 at 2:11
pedro97pedro97
6
$endgroup$
add a comment |
$begingroup$
How can I prove that The product of primitive polynomials is primitive.
(Definition: A polynomial f(x) ∈ Q[x] is said primitive if the coefficients are integers and the maximum common divisor of the coefficients is 1)
polynomials
asked Jan 5 at 2:11
pedro97pedro97
6
$endgroup$
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Hi @pedro97! How have you tried to prove it? What approaches have you done so far? We won’t do homework for you.
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– user458276
Jan 5 at 2:18
$begingroup$
en.wikipedia.org/wiki/Gauss%27s_lemma_(polynomial)
$endgroup$
– Lord Shark the Unknown
Jan 5 at 5:52
add a comment |
$begingroup$
How can I prove that The product of primitive polynomials is primitive.
(Definition: A polynomial f(x) ∈ Q[x] is said primitive if the coefficients are integers and the maximum common divisor of the coefficients is 1)
polynomials
asked Jan 5 at 2:11
pedro97pedro97
6
$endgroup$
How can I prove that The product of primitive polynomials is primitive.
(Definition: A polynomial f(x) ∈ Q[x] is said primitive if the coefficients are integers and the maximum common divisor of the coefficients is 1)
polynomials
polynomials
asked Jan 5 at 2:11
pedro97pedro97
6
asked Jan 5 at 2:11
pedro97pedro97
6
asked Jan 5 at 2:11
pedro97pedro97
6
asked Jan 5 at 2:11
pedro97pedro97
6
asked Jan 5 at 2:11
pedro97pedro97
6
6
$begingroup$
Hi @pedro97! How have you tried to prove it? What approaches have you done so far? We won’t do homework for you.
$endgroup$
– user458276
Jan 5 at 2:18
$begingroup$
en.wikipedia.org/wiki/Gauss%27s_lemma_(polynomial)
$endgroup$
– Lord Shark the Unknown
Jan 5 at 5:52
add a comment |
$begingroup$
Hi @pedro97! How have you tried to prove it? What approaches have you done so far? We won’t do homework for you.
$endgroup$
– user458276
Jan 5 at 2:18
$begingroup$
en.wikipedia.org/wiki/Gauss%27s_lemma_(polynomial)
$endgroup$
– Lord Shark the Unknown
Jan 5 at 5:52
$begingroup$
Hi @pedro97! How have you tried to prove it? What approaches have you done so far? We won’t do homework for you.
$endgroup$
– user458276
Jan 5 at 2:18
$begingroup$
Hi @pedro97! How have you tried to prove it? What approaches have you done so far? We won’t do homework for you.
$endgroup$
– user458276
Jan 5 at 2:18
$begingroup$
en.wikipedia.org/wiki/Gauss%27s_lemma_(polynomial)
$endgroup$
– Lord Shark the Unknown
Jan 5 at 5:52
$begingroup$
en.wikipedia.org/wiki/Gauss%27s_lemma_(polynomial)
$endgroup$
– Lord Shark the Unknown
Jan 5 at 5:52
add a comment |
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$begingroup$
Hi @pedro97! How have you tried to prove it? What approaches have you done so far? We won’t do homework for you.
$endgroup$
– user458276
Jan 5 at 2:18
$begingroup$
en.wikipedia.org/wiki/Gauss%27s_lemma_(polynomial)
$endgroup$
– Lord Shark the Unknown
Jan 5 at 5:52