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IA_GPS_19

# IA_GPS_19 - grouping For example 6 2(6 2 8 x y x y x y x y...

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R0907 a.s. http://faculty.valencia.cc.fl.us/ashaw INTERMEDIATE ALGEBRA GPS # 19 5.3 FACTORING POLYNOMIALS NAME: Useful Guidelines: Greatest Common Factor: The largest common term that can be factor out from the polynomial. For example: ) 2 ( 3 6 3 2 2 + = + y x x xy , where 3 x is the Greatest Common Factor. Factoring by grouping : Step 1: Group the terms so that each group has a common factor. For example: 6 6 2 2 (6 6 ) (2 2 ) x y x y x y x y ! + ! = ! + ! Step 2: Factor out the common factor in each group. For example: (6 6 ) (2 2 ) 6( ) 2( ) x y x y x y x y ! + ! = ! + ! Step 3: Factor out the common factor from the groups, if possible. Otherwise, try a different
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Unformatted text preview: grouping. For example: 6( ) 2( ) ( )(6 2) 8( ) x y x y x y x y ! + ! = ! + = ! 1. Factor out the greatest common factor. Simplify the factors, if possible. a) 2 3 x y xy ! = b) 2 3 6 12 p q pq ! = c) ( 2)( 2) ( 4)( 2) p p p p ! + ! + + = d) ( 3)( 2) ( 4)( 2) x y x y ! + ! + + = 2. Factor by grouping and simplify the factors, if possible. a) 3 3 7 7 x y x y + + + = b) 15 3 5 a n ab nb + + + = c) 30 5 18 3 x y xy + + + = d) 3 2 4 24 6 m m m + ! ! e) 2 2 1 ab b a ! + ! 3. Solve the equation. a) 3 6 2 = + y y b) 2 3 2 8 x x =...
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