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)










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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.
    – user458276
    yesterday










  • en.wikipedia.org/wiki/Gauss%27s_lemma_(polynomial)
    – Lord Shark the Unknown
    yesterday
















0














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)










share|cite|improve this question







New contributor




pedro97 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.




















  • Hi @pedro97! How have you tried to prove it? What approaches have you done so far? We won’t do homework for you.
    – user458276
    yesterday










  • en.wikipedia.org/wiki/Gauss%27s_lemma_(polynomial)
    – Lord Shark the Unknown
    yesterday














0












0








0







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)










share|cite|improve this question







New contributor




pedro97 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











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






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share|cite|improve this question







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pedro97 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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pedro97 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






pedro97 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.












  • Hi @pedro97! How have you tried to prove it? What approaches have you done so far? We won’t do homework for you.
    – user458276
    yesterday










  • en.wikipedia.org/wiki/Gauss%27s_lemma_(polynomial)
    – Lord Shark the Unknown
    yesterday


















  • Hi @pedro97! How have you tried to prove it? What approaches have you done so far? We won’t do homework for you.
    – user458276
    yesterday










  • en.wikipedia.org/wiki/Gauss%27s_lemma_(polynomial)
    – Lord Shark the Unknown
    yesterday
















Hi @pedro97! How have you tried to prove it? What approaches have you done so far? We won’t do homework for you.
– user458276
yesterday




Hi @pedro97! How have you tried to prove it? What approaches have you done so far? We won’t do homework for you.
– user458276
yesterday












en.wikipedia.org/wiki/Gauss%27s_lemma_(polynomial)
– Lord Shark the Unknown
yesterday




en.wikipedia.org/wiki/Gauss%27s_lemma_(polynomial)
– Lord Shark the Unknown
yesterday










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