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Path: ...!2.eu.feeder.erje.net!feeder.erje.net!fdn.fr!usenet-fr.net!.POSTED!not-for-mail From: Olivier Miakinen <om+news@miakinen.net> Newsgroups: fr.sci.maths Subject: Re: Factorisation x^4 + 4 Date: Fri, 19 May 2023 15:20:10 +0200 Organization: There's no cabale Lines: 15 Message-ID: <u47t2b$1mi1$1@cabale.usenet-fr.net> References: <6462222f$0$3096$426a74cc@news.free.fr> <6462226e$0$3096$426a74cc@news.free.fr> <u3taqk$6il$1@cabale.usenet-fr.net> <64673bbf$0$2979$426a74cc@news.free.fr> NNTP-Posting-Host: 200.89.28.93.rev.sfr.net Mime-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit X-Trace: cabale.usenet-fr.net 1684502411 55873 93.28.89.200 (19 May 2023 13:20:11 GMT) X-Complaints-To: abuse@usenet-fr.net NNTP-Posting-Date: Fri, 19 May 2023 13:20:11 +0000 (UTC) User-Agent: Mozilla/5.0 (X11; Linux x86_64; rv:52.0) Gecko/20100101 Firefox/52.0 SeaMonkey/2.49.4 In-Reply-To: <64673bbf$0$2979$426a74cc@news.free.fr> Bytes: 1321 Le 19/05/2023 11:05, kurtz le pirate a écrit : >> >> x⁴ + 4 = ((x+1)²+1)).((x-1)²+1) > > mais si c'est x^4 + 4 ça donne : > > (x^2 - 2 x + 2) (x^2 + 2 x + 2) Sachant que (x+1)² = (x² + 2x + 1) et (x-1)² = (x² - 2x + 1), c'est cohérent. :-) -- Olivier Miakinen