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P.4 Factoring Polynomials Common Factors Factor Special Forms  Factor Trinomials w/Binomial Factors Factor by Grouping
factoring out common factors ,[object Object],[object Object],[object Object],[object Object],[object Object]
“ Outside and Under” ,[object Object],[object Object],[object Object],[object Object]
using  outside and under  can help
using  outside and under  can help ,[object Object]
 
Factoring Special Forms ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object]
Factor  x 2  – 10 x  + 25 ,[object Object],[object Object],[object Object],[object Object]
Factor ( x  + 2) 2  – y 2 ,[object Object],[object Object],[object Object]
Factor 16 x 2  + 12 x  + 9 ,[object Object],[object Object],[object Object],[object Object]
You try: ,[object Object]
You try: ,[object Object],[object Object],[object Object],[object Object]
Factoring Trinomials  ,[object Object],[object Object],[object Object],[object Object]
Factor 2 x 2  +  x  - 15 ,[object Object],[object Object],[object Object],What two factors make -15? It would be some combination of either three and five or one and fifteen, where one of them is negative and one is positive. (  -3 )(  5 ) (  3 )(  -5 ) (  1 )(  -15 ) (  -1 )(  15 ) See how this “LAST” arrow would make -15?
Now the “INNER” and “OUTER” ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Try to factor: 6 x 2  – 2x – 20  ,[object Object]
Factoring by Grouping ,[object Object],[object Object],[object Object],[object Object],[object Object]
( x 3  – 2 x 2 )  +  ( - 3 x  + 6) ,[object Object],[object Object],[object Object]
( x 3  – 2 x 2 )  +  ( - 3 x  + 6) ,[object Object],[object Object],[object Object],[object Object]
Sometimes… ,[object Object],[object Object],[object Object],[object Object]
6 + 2 x  – 3 x 3  –  x 4

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College algebra p4

  • 1. P.4 Factoring Polynomials Common Factors Factor Special Forms Factor Trinomials w/Binomial Factors Factor by Grouping
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  • 4. using outside and under can help
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  • 24. 6 + 2 x – 3 x 3 – x 4