Question 315949
Divide: (4x² + 23x – 6)  ÷  (4x - 1) 
please show work.
<pre><b>
There are two methods:

Method 1:  Long division:

      <u>         x + 6</u>
4x - 1)4x² + 23x - 6
       <u>4x² -   x</u>
             24x - 6
             <u>24x - 6</u>
                   0  
-----------------------------------

Method 2:  Factoring and canceling

{{{(4x^2 + 23x - 6)/(4x - 1)}}}

{{{((4x - 1)(x + 6))/(4x-1)}}}

{{{((cross(4x - 1))(x + 6))/(cross(4x-1))}}}

{{{x+6}}}

Either way the answer is 

x + 6

Edwin</pre>