SOLUTION: How can I show that if {{{a}}} is algebraic (which means is zero of a rational polynomial), {{{a^-1}}} is algebraic, too?

SOLUTION: How can I show that if {{{a}}} is algebraic (which means is zero of a rational polynomial), {{{a^-1}}} is algebraic, too?

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Question 250639: How can I show that if is algebraic (which means is zero of a rational polynomial), is algebraic, too?
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
I think I understand what you are saying.
Let f(x) and g(x) be two polynomials with integer coefficients.
Since was given to us as a zero,

multiply both sides by to get
is also algebraic since it is the zero for f(x).
Is that what you were needing?
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