write:Becarefulwiththis. Itiseasytogetinahurryandforgettoaddaâ+1âorâ1âasrequiredwhenfactoringoutacompleteterm. (d)9×2(2x+7)12x(2x+7)Thisonelooksalittleoddincomparisontotheothers.

sincethefinaltermwasthetermwefactoredoutweneededtoremindourselvesthattherewasatermthereoriginally.Todothisweneedtheâ+1âandnoticethatitisâ+1âinsteadofâ1âbecausethetermwasoriginallyapositiveterm.Ifithadbeenanegativetermoriginallywewouldhavehadtouseâ1â.Oneofthemorecommonmistakeswiththesetypesoffactoringproblemsistoforgetthisâ1â.Rememberthatwecanalwayscheckbymultiplyingthetwobackouttomakesurewegettheoriginal.Tocheckthattheâ+1âisrequired
letâsdropitandthenmultiplyouttoseewhatweget.3xx53x=3x69x26=3x69x2+3xSo
withouttheâ+1âwedonâtgettheoriginalpolynomial!Becarefulwiththis.Itiseasytogetinahurryandforgettoaddaâ+1âorâ1âasrequiredwhenfactoringoutacompleteterm.(d)9×2(2x+7)12x(2x+7)Thisonelooksalittleoddincomparisontotheothers.However
itworksthesameway.Thereisa3xineachtermandthereisalsoa2x+7ineachtermandsothatcanalsobefactoredout.Doingthefactoringforthisproblemgives
9×2(2x+7)12x(2x+7)=3x(2x+7)(3×4)Â©PaulDawkinsAlgebraâ35â

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write:Becarefulwiththis. Itiseasytogetinahurryandforgettoaddaâ+1âorâ1âasrequiredwhenfactoringoutacompleteterm. (d)9×2(2x+7)12x(2x+7)Thisonelooksalittleoddincomparisontotheothers.

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write:Becarefulwiththis. Itiseasytogetinahurryandforgettoaddaâ+1âorâ1âasrequiredwhenfactoringoutacompleteterm. (d)9×2(2x+7)12x(2x+7)Thisonelooksalittleoddincomparisontotheothers.