1-find-the-roots-of-p-x-1-ix-x-2-n-1-ix-x-2-n-with-n-integr-natural-2-factorize-p-x-inside-C-x-3-give-p-x-at-form-a-p-x-p-

Tinku Tara June 4, 2023 Algebra 0 Comments

Question Number 40042 by abdo mathsup 649 cc last updated on 15/Jul/18

1) find the roots of p(x)=(1+ix +x^2 )^n −(1−ix+x^2 )^n with n integr natural 2) factorize p(x) inside C(x) 3) give p(x) at form Σ a_p x^p

$$\left.\mathrm{1}\right)\:{find}\:{the}\:{roots}\:{of}\:\: \\ $$$${p}\left({x}\right)=\left(\mathrm{1}+{ix}\:+{x}^{\mathrm{2}} \right)^{{n}} −\left(\mathrm{1}−{ix}+{x}^{\mathrm{2}} \right)^{{n}} \:{with}\:{n}\:{integr} \\ $$$${natural} \\ $$$$\left.\mathrm{2}\right)\:{factorize}\:{p}\left({x}\right)\:{inside}\:\:{C}\left({x}\right) \\ $$$$\left.\mathrm{3}\right)\:{give}\:{p}\left({x}\right)\:{at}\:{form}\:\:\Sigma\:{a}_{{p}} {x}^{{p}} \\ $$

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1-find-the-roots-of-p-x-1-ix-x-2-n-1-ix-x-2-n-with-n-integr-natural-2-factorize-p-x-inside-C-x-3-give-p-x-at-form-a-p-x-p-

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