jLa compltion du carr Les deux premires mthodes pour factoriser des trinmes peuvent s'effectuer dans bien des cas. Par contre, certains trinmes peuvent tre rcalcitrants et c'est pourquoi l'on introduit la compltion de carr. Cette mthode consiste former un trinme carr pour le factoriser. La compltion de carr : Il s'agit d'ajouter une constante au trinme afin de pouvoir le factoriser tel un trinme carr parfait. Par contre, il ne faut pas oublier de soustraire cette constante la fin. Soit le trinme qui n'est pas un trinme carr parfait. 1. Mettre en vidence la constance a pour obtenir 1 comme coefficient devant le  . 2. On complte le trinme en ajoutant la valeur de et en le soustrayant aprs. On arrive : . 3. On peut ainsi faire un trinme carr parfait avec les trois premiers termes de la grande parenthse et simplifier les deux ternier termes. Ces binmes et cette constante seront les deux termes d'une diffrence de carr. 4. On factorise la diffrence de carrs pour obtenirs les facteurs du trinme initial. Ex. Soit le trinme . 1. On met en vidence le a, i.e 2 : . 2. On complte le carr parfait en ajoutant et soustrayant  i.e.  . On obtient  3. Le trinme  devient  et les deux derniers termes simplifis :  on arrive . 4. On factorise la diffrence de carrs pour finalement obtenir le trinme factoris :  La thorie se retrouve dans le manuel Scnarios aux pages 110 113. Les exercices suggrs dans le manuel Scnarios sont les suivants : page 112 la pratique et page 113 la pratique et la mise au point.ű  PP1PIPdPePsPtPzP~PTimes New RomanTimes New RomanTimes New Roman/001IJ>?YZ?@@AXY,-@AAB()k p@ P !$`' p@ P !$`'=@ddw;(7( CTxobjItem;(ࡱ>  Root EntryZn@30E=ContentsSOlePres000b) a87 64 64 1 1 1 0 ffff0007 b0002 796c4743 74536870 b1656c79 ffffff 0 0 90000000 1 7010000 54000000 73656d69 77654e20 6d6f5220 6e61 0 0 0 0 ff00ff00 7800ffff 64000000 8000000 6e617453 64726164 0 1 80010006 0 0 0 0 190 1000000 7 626d7953 6c6f 0 0 0 0 0 0 ff0000 ffffff 78 64 64745309 626d7953 16c6f 10000 0 8001 0 0 0 2bc0000 0 70100 79530000 6c6f626d 0 0 0 0 0 0 0 ffff00ff 7800ff 640000 530d0000 79536474 6c6f626d 646c6f42 1 1 80010000 0 0 0 0 190 1000001 7 656d6954 654e2073 6f522077 6e616d 0 0 0 0 ff0000 ffffff 78 64 64745309 6c617449 16369 10000 0 8001 0 0 0 2bc0000 10000 70100 69540000 2073656d 2077654e 616d6f52 6e 0 0 0 0 ffff00ff 7800ff 640000 530d0000 74496474 63696c61 646c6f42 1 1 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