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Quadratic Expressions. Please tell me how to answer these questions fully. State...
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High School Teacher
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To factor using decomposition, you need to find the factors of the product of the first and last coefficient that add to the middle coefficient.
In this case, we are looking for factors of 6x1=6 that add to -7, which are -6 and -1.
Then split apart the middle term using these factors. Finally, factor using group factoring twice.
`6a^2-7a+1` split middle term
`=6a^2-6a-a+1` factor by grouping
`=6a(a-1)-1(a-1)` common factoring
The expression factors into `(a-1)(6a-1)` .
Posted by lfryerda on October 19, 2012 at 12:46 AM (Answer #1)
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