Question 529844
write a polynomial equation with rational coefficients in standard form with the given solutions of {{{sqrt(3) and 2i }}}
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If it is going to have rational coefficients it must also have
as solutions -sqrt(3) and -2i.
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So you have:
f(x) = (x-sqrt(3))(x+sqrt(3))(x-2i)(x+2i)
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f(x) = (x^2-3)(x^2+4)
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f(x) = x^4+x^2-12
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cheers,
Stan H.