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Factoring By Groupingcpg2000Factor out all common factors from the trinomial before starting this process.Case 1 2000.AxBxCwhereAandBandC Case 2 200,0.AxBxCwhereAandCbutB The pair found in step 2 of the process will both be negative factors.222623206815206815202345 34(34)(25)xxxxxxxxxxxxx      1. 2623206 20 120xxFactor Pairs1, 1202, 603, 404, 305, 246, 208, 1510, 122.8 + 15 = 23 2223. 62320 6815204.6815205. 2345 346.(34)(25)xxxxxxxxxxxxx        1.Multiply A times C. List all the factor pairs of the product.2.Look for a pair of factors that add to the coefficient of the middle term, B.3.Rewrite the Bx term using this sum.4.Group the first two terms together and the last two terms together.5.Factor the common factor from each pair6.Factor out the common binomial factor.
Factoring By Groupingcpg2000Factor out all common factors from the trinomial before starting this process.Case 3 2000.AxBxCwhereAandBandC Case 4 2000.AxBxCwhereAandCandB The pair found in step 2 of the process has the signs reversed.222310831228312283424(4)(32)xxxxxxxxxxxxx      Case 5: 20AxBxCwhereA Factor out a –1, then apply one of the previous cases to the trinomial.1. 231083 ( 8)24xx  Factor Pairs1, 242, 123, 84, 62.12 –2 = 102223. 3108 312284. 312285. 34246.(4)(32)xxxxxxxxxxxxx           1.Multiply A times C. List all the factor pairs of the absolute value of the product.2.Look for a pair of factors that have a difference equal tothe coefficient of the middle term, B.3.Rewrite the Bx term using this difference.4.Group the first two terms together and the last two terms together.5.Factor the common factor from each pair6.Factor out the common binomial factor.

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