Rainbow Factoring Lesson
 To factor by grouping,place the 4 terms in the box:2c2+8c+3c+122c23c?8c12? Type the GCF of each row and columnFactor:2c23c2c2+8c+3c+12c8c12 2c3Factor:2c23cc8c122c2+8c+3c+124(2c2+8c)(3c+12)(2c+3)(c+4)2c2+8c+3c+12Factored  is: There are manyways to split +11c.Use the chart to showa few terms thatsimplify to +11c:This trinomial canbe factored bygrouping IFyou split +11cinto two terms.Factor:2c2+8c+3c+12+8c+6c+7c2c2+11c+12+3c?+4c?+5c?===11c11c11c Why was+8c+3cselected?ClickOKFactor:2c2+8c+3c+12+8c+6c+7c2c2+11c+12+3c+4c+5c===11c11c11c 11c wassplit into+8c and +3cbecausethe only wayyou canfactor bygrouping...2c2+8c+3c+122c2+11c+12 Is to have the product of theoutside     termsequal the product        of theinside terms The only way you can factor by groupingis if the product of theequals the product of the Which polynomial will factor by grouping?9x+4x 6x+5x3x2 +6x+5x +103x2 +9x+4x +10outside  termsinside terms The only way you can factor by groupingis if the product of theequals the product of the Which polynomial will factor by grouping?9x+4x 6x+5x4x2 +8x+5x +104x2 +7x+7x +10outside  termsinside terms Which polynomial will factor by grouping?9x+4x 6x+5xoutside 3x2 +3x+8x +103x2 +9x+4x +12inside termsProductterms Which polynomial will factor by grouping?9x+4x 6x+5xoutside 2x2 +6x+3x +92x2 +9x+4x +9inside termsProductterms "Rainbow"Factoringmultipliesthe 2outsideterms tosplitthemiddleterm.2c2 +7c +6What factor pair ofClickOK   Hasa sum of12 Factor Pairs112***42c2 +7c +6What factor pair of   Hasa sum of12 Which factor pairof 12 has a sum of7?Factor Pairs21312***12462c2 +7c +6What factor pair of1 and 122 and 163 and 4   Hasa sum of12 You  have 4 terms,now factor by grouping3 and 4   Whichfactor pair   of 12has a sum   of 7?2c2+3c+4c+62c2 +7c +6What factor pair of   Hasa sum of12Click OK cFill in GCFsof each row& column2c24c3c62c2+3c+4c+62c2 +7c +6What factor pair of   Hasa sum of12 Type themissing factor(no spaces)c22c24c2c3c632c2+3c+4c+6(c+2)2c2 +7c +6What factor pair of   Hasa sum of12(       ) c2Click OK2c24c2c3c632c2+3c+4c+6(c+2)2c2 +7c +6What factor pair of   Hasa sum of(2c+3)12 1. Multiply the outside terms to getthe master product on TOP of the rainbow5c2 +13c +6What factor pair of   Hasa sum of Use 30,the masterproduct,to split themiddle term.What factor pair of 30 has a sum of +13?5 and 65 and 83 and 102 and 155c2 +13c +6What factor pair of   Hasa sum of30 Use the boxto factor bygrouping10c5c23c65c2+3c+10c+65c2 +13c +6What factor pair of   Hasa sum of30 Use GCFs towrite thepolynomialin factoredform2c10c5c25c3c635c2+3c+10c+65c2 +13c +6Factored form:(5c2+3c)(10c+6)(5c+3)(c+2)What factor pair of   Hasa sum of30 1. Multiply the outside terms to getthe master product on TOP of the rainbow5c2 +13c -6What factor pair of    Hasa diff. of Use ,the masterproduct,to split themiddle term.What factor pairof -30 hasa differenceof +13?-305c2 +13c -6What factor pair of    Hasa diff. of3 and 10-3 and 102 and -15-2 and 15-30 Use the boxto factor bygrouping15c5c2-2c-65c2-2c+15c-65c2 +13c -6What factor pair of    Hasa diff. of-30 c3Use GCFs towrite thepolynomialin factoredform15c5c25c-2c-2-65c2-2c+15c-65c2 +13c -6(5c2-2c)(15c-6)(c+3)(5c-2)Factored form:What factor pair of    Hasa diff. of-30 NDHTEE
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