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Category: Algebra

let-p-x-1-x-x-2-n-1-x-x-2-n-C-x-1-find-the-roots-of-p-x-2-factorize-p-x-inside-C-x-

Question Number 31542 by abdo imad last updated on 09/Mar/18 $${let}\:{p}\left({x}\right)=\left(\mathrm{1}+{x}+{x}^{\mathrm{2}} \right)^{{n}} \:−\left(\mathrm{1}−{x}+{x}^{\mathrm{2}} \right)^{{n}} \:\in{C}\left[{x}\right] \\ $$$$\left.\mathrm{1}\right)\:{find}\:{the}\:{roots}\:{of}\:{p}\left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{factorize}\:{p}\left({x}\right)\:{inside}\:{C}\left[{x}\right]. \\ $$ Terms of Service Privacy…

if-p-is-the-natural-number-then-what-is-the-degree-of-x-6p-1-3x-4p-3-4x-8p-10-8-polynomial-

Question Number 97067 by student work last updated on 06/Jun/20 $$\mathrm{if}\:\mathrm{p}\:\mathrm{is}\:\mathrm{the}\:\mathrm{natural}\:\mathrm{number}\:\mathrm{then}\:\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{degree}\:\mathrm{of} \\ $$$$\mathrm{x}^{\mathrm{6p}+\mathrm{1}} +\mathrm{3x}^{\mathrm{4p}−\mathrm{3}} +\mathrm{4x}^{\mathrm{8p}−\mathrm{10}} +\mathrm{8}\:\:\mathrm{polynomial}? \\ $$ Commented by mr W last updated on…

what-is-the-perimeter-of-a-regular-dodecagon-12-sides-whose-area-is-24-12-3-

Question Number 97051 by john santu last updated on 06/Jun/20 $$\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{perimeter}\:\mathrm{of}\:\mathrm{a}\:\mathrm{regular}\: \\ $$$$\mathrm{dodecagon}\:\left(\mathrm{12}\:\mathrm{sides}\right)\:\mathrm{whose}\: \\ $$$$\mathrm{area}\:\mathrm{is}\:\mathrm{24}+\mathrm{12}\sqrt{\mathrm{3}}\:?\: \\ $$ Commented by bemath last updated on 06/Jun/20 $$\mathrm{let}\:\mathrm{the}\:\mathrm{sides}\:\mathrm{of}\:\mathrm{dodecagon}\:\mathrm{is}\:{a}…

let-a-0-pi-and-A-x-x-2n-2cos-na-x-n-1-1-factorize-inside-C-x-A-x-2-factorize-inside-R-x-A-x-

Question Number 31496 by abdo imad last updated on 09/Mar/18 $$\left.{let}\:{a}\in\right]\mathrm{0},\pi\left[\:\:\:{and}\:{A}\left({x}\right)=\:{x}^{\mathrm{2}{n}} \:−\mathrm{2}{cos}\left({na}\right){x}^{{n}} \:+\mathrm{1}\right. \\ $$$$\left.\mathrm{1}\right){factorize}\:{inside}\:{C}\left[{x}\right]\:{A}\left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{factorize}\:{inside}\:{R}\left[{x}\right]\:{A}\left({x}\right). \\ $$ Commented by abdo imad last updated…

let-give-p-x-x-j-n-x-j-n-with-j-e-i-2pi-3-1-find-roots-of-p-x-2-factorize-inside-C-x-p-x-3-factorize-inside-R-x-p-x-

Question Number 31495 by abdo imad last updated on 09/Mar/18 $${let}\:{give}\:{p}\left({x}\right)=\left({x}+{j}\right)^{{n}} \:−\left({x}−{j}\right)^{{n}} \:{with}\:{j}={e}^{{i}\frac{\mathrm{2}\pi}{\mathrm{3}}} \\ $$$$\left.\mathrm{1}\right)\:{find}\:{roots}\:{of}\:{p}\left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{factorize}\:{inside}\:{C}\left[\:{x}\right]\:{p}\left({x}\right) \\ $$$$\left.\mathrm{3}\right){factorize}\:{inside}\:{R}\left[{x}\right]\:{p}\left({x}\right). \\ $$ Terms of Service Privacy…