x-1-x-2-x-3-are-roots-of-the-polynomial-x-3-x-1-find-the-polynomial-wich-have-for-roots-x-1-3-x-2-3-and-x-3-3-

Tinku Tara June 4, 2023 Algebra 0 Comments

Question Number 30582 by abdo imad last updated on 23/Feb/18

x_1 , x_2 , x_(3 ) are roots of the polynomial x^3 −x+1 find the polynomial wich have for roots x_1 ^3 ,x_2 ^3 and x_3 ^3 .

$${x}_{\mathrm{1}} ,\:{x}_{\mathrm{2}} ,\:{x}_{\mathrm{3}\:} \:{are}\:{roots}\:{of}\:{the}\:{polynomial}\:{x}^{\mathrm{3}} \:−{x}+\mathrm{1}\:{find} \\ $$$${the}\:{polynomial}\:{wich}\:{have}\:{for}\:{roots}\:{x}_{\mathrm{1}} ^{\mathrm{3}} \:,{x}_{\mathrm{2}} ^{\mathrm{3}} \:{and}\:{x}_{\mathrm{3}} ^{\mathrm{3}} \:\:. \\ $$

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