# R4 - 2 x bx c Factor completely: a. 2 7 12 x x b. 3 2 3 12...

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Math 1513 Sec R.4 1 Section R.4 Factoring Factoring polynomials is just the reverse of multiplying. We start with the result of a multiplication problem and have to figure out all the terms that were multiplied together to get that result. Sometimes factoring is harder than multiplication – working backwards takes some thought. However, to be good at factoring, you have to fully understand multiplication. Common Factors The first thing to look for in a factoring problem is a common factor . This is the largest monomial that is contained in each term. Not every factoring problem will have a common factor, but you should always look for one. Factor: a. 3 2 6 15 3 x x x b. 5 4 8 16 y y

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Math 1513 Sec R.4 2 Factoring Trinomials of the Type

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Unformatted text preview: 2 x bx c Factor completely: a. 2 7 12 x x b. 3 2 3 12 12 x x x c. 2 25 x d. 3 3 12 x x e. 2 2 18 40 y x Math 1513 Sec R.4 3 Factoring Trinomials of the Type 2 , 1 ax bx c a Factor completely: a. 2 2 5 3 x x b. 2 6 11 4 x x Math 1513 Sec R.4 4 Factor by Grouping a. Factor: 3 2 3 4 12 x x x This technique won’t always work, but the strategy is to group the terms in such a way that terms are similar and have a common factor. For example: 12? 3 2 3 2 2 2 3 4 12 ( 3 ) (4 12) ( 3) 4( 3) ( 3)( 4) why did it change to x x x x x x x x x x x b. Factor: 3 2 2 9 18 x x x...
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## This note was uploaded on 10/18/2011 for the course MATH 1513 taught by Professor Staff during the Fall '08 term at Oklahoma State.

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R4 - 2 x bx c Factor completely: a. 2 7 12 x x b. 3 2 3 12...

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