SOLUTION: how would i write a polynomial equation with rational coefficients in standard form with the given solutions of {{{sqrt(3) and 2i }}} so far I've gotten {{{ x-sqrt(3)=0 }}} {{{ x-2

Question 529844: how would i write a polynomial equation with rational coefficients in standard form with the given solutions of so far I've gotten then I'm not sure what to do after that.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
write a polynomial equation with rational coefficients in standard form with the given solutions of
----
If it is going to have rational coefficients it must also have
as solutions -sqrt(3) and -2i.
---
So you have:
f(x) = (x-sqrt(3))(x+sqrt(3))(x-2i)(x+2i)
---
f(x) = (x^2-3)(x^2+4)
---
f(x) = x^4+x^2-12
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cheers,
Stan H.

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