How do you factor by grouping?

            You're taking a test and you're doing great all of a sudden you get to a question that says Factor: 2x3+4x2 +5x+10. In your head you think "crap" but have no fear! I'm hear to show you how it's done! 

       First split up the expression into two parts. The first two and the last two. Deal with both parts alone. Now working with the first part pull out the GCF. The GCF of 2x3+4x2 is 2x2 now you bring down whats left which is (x+2). When you put that all together what you get for the first half is        2x² (x+2).

         Now you do the same thing to the second half of the expression. Pulling out the GCF of 5x+10 gives you 5. Pulling out whats left is going to give you (x+2). Notice that after taking out the GCF both half's of the equation have the same thing left over. Now you combine everything for the second half givig you 5(x+2). 

          
        You have now factored both half's of the equation and its time to bring it all to together. right now your parts look like 2x²(x+2)+5(x+2). (x+2) is common on both sides so you can combine that. Now you combine both GCF's and your final answer looks like (2x²+5)(x+2). Now you can finish your test without losing your mind.