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12x² - 11x+2 How do I factor this?  Show all your work.

 Jan 14, 2020
 #1
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12x^2 - 11x + 2 factors as (6x - 1)(7x - 3).

 
 Jan 14, 2020
 #2
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First, let's find factors of 12

12=1*12

12=2*6

12=3*4  

now let's do trials (I.e. you try these values until you get the answer as they are the only factors of 12) 

\((4x-)(3x-)\) 

- what?? 

2*1 as the product of them must be equal to +2 and sum to -11 

\((4x-2)(3x-1)\) Notice this doesn't work why? because if you expand it it is not the same. Now let's try to switch 2 and 1

\((4x-1)(3x-2)\) This works! 

 
 Jan 14, 2020
 #3
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12x² - 11x+2 How do I factor this?  Show all your work.

It's very simple like that.

 

laugh

 
 Jan 14, 2020

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