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let-p-x-x-3-2x-2-1-and-is-root-of-p-x-prove-that-Q-




Question Number 36909 by prof Abdo imad last updated on 07/Jun/18
let p(x)=x^3  −2x^2  −1 and α is root of p(x)  prove that α∉ Q .
$${let}\:{p}\left({x}\right)={x}^{\mathrm{3}} \:−\mathrm{2}{x}^{\mathrm{2}} \:−\mathrm{1}\:{and}\:\alpha\:{is}\:{root}\:{of}\:{p}\left({x}\right) \\ $$$${prove}\:{that}\:\alpha\notin\:{Q}\:. \\ $$

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