Factoring by grouping was simple to understand but, what if now you get a trinomial that looks like: 6x2+19x+10? In this case factoring by grouping will not work but there is a way to factor this easier than you would expect.
First you take your a and your c, in this case 6 and 10, and multiply them together giving you 60. Now you will find two numbers that multiply to give you your product of a and c and add to give you b. So were looking for two numbers that multiply to give you 60 and add to give you 19. If you guessed 15 and 4, you got it!
Now you take these two numbers and replace them in your old equation. Your new equation will look like: 6x2+15x+4x+10. Now what do you do? Well now you can factor by grouping. You know the drill, Take the first two terms and the last two terms and pull out the greatest common factor. The GCF of the first two terms is 3x and the GCF of the last two terms is 2. So currently you have 3x( )+2( ).
You'll bring down what you have left which will be 2x+5 in both equations. Now that they have something in common you combine both 2x+5's and combine the two GCF's leaving you with a final answer of (3x+2)(2x+5). Bing bang bomb you factored that dude.
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