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Proof Problem Of The Day - Rationality!

\(F(x)=x^3+ax^2+bx+c\) is a polynomial with rational co-efficients and roots \(x_1, x_2\) and \(x_3\). If \(\frac{x_1}{x_2}\) is a rational number other than \(-1\) and \(0\), prove that all the roots are rational.

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Note by Mursalin Habib
3 years, 1 month ago

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