How Do We Factor By Grouping ?

To factor by grouping, you have to use 5 easy and simple steps.
     Let's use the polynomial : 8x^2-10x-3 
The first step is to find the Master Product. The master product is multiplying the first number by the last number. So in this case you would multiply 8 by -3 and get -24.
The next step if to find what multiplies to give you -24 and adds together to give you -10.
                                    The two numbers become -12 and 2.
Next you replace the -10x with the two new factors you found ( -12 and 2 )
              Your polynomial should now look like this : 8x^2-12x+2x-3
 Now its time to group the the terms in two pairs. Group the first two terms and the last two terms
       You have to factor each pair by finding the greatest common factor.
           So you can pull out 4x from 8x^2 -12 . The first two terms now look like :
                                                 4x(2x-3) 
         You can pull out 1 from 2x -3 because there's nothing else that goes into both 2 and 3.
  Both terms together now looks like this :  4x(2x-3) + 1(2x-3)
      The final and last step is to factor out the shared binomial, which is (2x-3) and combine the term in front of the parenthesis.
                       Your final answer is (4x+1) (2x-3) .

Now try it is your self  :

                                              6x^2 + 19x + 10