SOLUTION: Divide: (4x² + 23x – 6) ÷ (4x - 1) please show work

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Question 315949: Divide: (4x² + 23x – 6) ÷ (4x - 1)
please show work
Answer by Edwin McCravy(20064) About Me  (Show Source):
You can put this solution on YOUR website!
Divide: (4x² + 23x – 6) ÷ (4x - 1)
please show work.

There are two methods:

Method 1:  Long division:

               x + 6
4x - 1)4x² + 23x - 6
       4x² -   x
             24x - 6
             24x - 6
                   0  
-----------------------------------

Method 2:  Factoring and canceling

%284x%5E2+%2B+23x+-+6%29%2F%284x+-+1%29

%28%284x+-+1%29%28x+%2B+6%29%29%2F%284x-1%29

%28%28cross%284x+-+1%29%29%28x+%2B+6%29%29%2F%28cross%284x-1%29%29

x%2B6

Either way the answer is 

x + 6

Edwin