Seeking the minimal polynomial for an algebraic monomial

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I have an algebraic monomial relationship:
beginequationtag1
A_1c^12 + A_2c^10 + A_3c^8 + A_4c^6 + A_5c^4 + A_6c^2 + A_7 = 0
endequation
where $A_1 - A_7$ are algebraic numbers predetermined exactly by their minimal polynomials from the certain combinations of two series $a(x)$ and $b(x)$, not given here.



How can I find the minimal polynomial for c?




minimal-polynomials




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  • The minimal polynomial over $Bbb Q$ ?
    – Lubin
    Aug 6 at 2:12














up vote
0
down vote

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I have an algebraic monomial relationship:
beginequationtag1
A_1c^12 + A_2c^10 + A_3c^8 + A_4c^6 + A_5c^4 + A_6c^2 + A_7 = 0
endequation
where $A_1 - A_7$ are algebraic numbers predetermined exactly by their minimal polynomials from the certain combinations of two series $a(x)$ and $b(x)$, not given here.



How can I find the minimal polynomial for c?




minimal-polynomials




share|cite|improve this question



















  • The minimal polynomial over $Bbb Q$ ?
    – Lubin
    Aug 6 at 2:12












up vote
0
down vote

favorite









up vote
0
down vote

favorite











I have an algebraic monomial relationship:
beginequationtag1
A_1c^12 + A_2c^10 + A_3c^8 + A_4c^6 + A_5c^4 + A_6c^2 + A_7 = 0
endequation
where $A_1 - A_7$ are algebraic numbers predetermined exactly by their minimal polynomials from the certain combinations of two series $a(x)$ and $b(x)$, not given here.



How can I find the minimal polynomial for c?




minimal-polynomials




share|cite|improve this question











I have an algebraic monomial relationship:
beginequationtag1
A_1c^12 + A_2c^10 + A_3c^8 + A_4c^6 + A_5c^4 + A_6c^2 + A_7 = 0
endequation
where $A_1 - A_7$ are algebraic numbers predetermined exactly by their minimal polynomials from the certain combinations of two series $a(x)$ and $b(x)$, not given here.



How can I find the minimal polynomial for c?





minimal-polynomials





share|cite|improve this question










share|cite|improve this question




share|cite|improve this question









asked Aug 6 at 1:01









Randall

213




213











  • The minimal polynomial over $Bbb Q$ ?
    – Lubin
    Aug 6 at 2:12
















  • The minimal polynomial over $Bbb Q$ ?
    – Lubin
    Aug 6 at 2:12















The minimal polynomial over $Bbb Q$ ?
– Lubin
Aug 6 at 2:12




The minimal polynomial over $Bbb Q$ ?
– Lubin
Aug 6 at 2:12















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