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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
2 years, 1 month ago