Factoring flow chart.docx - FACTORING FLOW CHART Greatest...

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FACTORING FLOW CHARTGreatest Common Factor (GCF)Number of Terms2 Terms3 Terms4 TermsDifference of SquaresPerfect Square TrinomialFactor with GroupingSum, Difference of Cubes“Easy” trinomials (a = 1)“Hard” trinomials (a ≠ 1)Difference of SquaresA2– B2= (A + B)(A – B)Note: A2+B2is prime!Sum, Difference of CubesA3+ B3= (A + B)(A2– AB + B2)A3– B3= (A – B)(A2+ AB + B2)For signs, think SOAPSame, Opposite, Always PositivePerfect Square TrinomialA2+ 2AB + B2= (A + B)2A2– 2AB + B2= (A – B)2square double squareNumberSquaredCubed111248392741664525125636216749343864512981729101001000111211331121441728131692197141962744152253375162564096172894913183245832193616859204008000
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Find2 factors of a and 2 factors of cto create two binomials that will FOIL to produce the original trinomial.

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