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Question Number 152396 by mathdanisur last updated on 28/Aug/21

$$\mathrm{If}{\mathrm{x}}^3-\mathrm{x}+3=0\mathrm{has}\mathrm{the}\mathrm{roots}\mathrm{a};\mathrm{b}\mathrm{and}\mathrm{c}$$$$\mathrm{determine}\mathrm{the}\mathrm{monic}\mathrm{polynomial}\mathrm{with}$$$$\mathrm{the}\mathrm{roots}{\mathrm{a}}^5;{\mathrm{b}}^5\mathrm{and}{\mathrm{c}}^5.$$

Answered by mindispower last updated on 28/Aug/21

$$nwetoonidentitiestofind{a}^5+b^5+c^5;\mathrm{\Sigma }{a}^5{b}^5$$$${anda}^5{b}^5{c}^5$$

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