ZenKarateGirl2014 ZenKarateGirl2014
  • 21-09-2020
  • Mathematics
contestada

Factoring by grouping 12x^2+11x+2=0​

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fruitsnacks93 fruitsnacks93
  • 21-09-2020

Step-by-step explanation:

(12)(2) = 24   Find 2 numbers whose product is 24 and whose sum is 11  (8 and 3 work)

 

Rewrite 11x as 8x+3x and factor by grouping:

 

12x2 + 8x + 3x + 2 = 0

 

4x(3x+2) + 1(3x+2) = 0

 

(3x+2)(4x+1) = 0

 

x = -2/3 or x = -1/4

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