Factoring Completely | MathHelp.com - By MathHelp.com
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00:0-1 | at first glance , this problem may look extremely difficult | |
00:05 | because it's set up as a special kind of try | |
00:08 | no meal that can be factored as the product of | |
00:10 | two by no meals and there's a coefficient on your | |
00:13 | X squared term . And look at your constant term | |
00:17 | that you're going to have to factor negative 24 . | |
00:20 | Think of all of the different possible factors of negative | |
00:23 | 24 you'll see you'll have a bunch of different pairs | |
00:27 | of dino meals to choose from in the problems in | |
00:30 | this section . However , you can make your life | |
00:33 | a lot easier by understanding one simple idea . Before | |
00:38 | you do anything else in this problem , look to | |
00:41 | see if the greatest common factor exists in this original | |
00:45 | try no meal . Notice that for every term In | |
00:50 | your original problem , there is a factor of three | |
00:54 | . That means that a three can factor out of | |
00:57 | the tri no meal and you're left with X squared | |
01:02 | plus two x minus eight . Inside the parentheses , | |
01:09 | look at how much easier to deal with this . | |
01:11 | Try no meal is than your original . Try no | |
01:14 | meal . Our next step will be to factor what's | |
01:18 | in here and all we have to do is split | |
01:20 | up into two by no meals . Looking for the | |
01:23 | factors of -8 that add to positive too . Since | |
01:29 | those factors are positive for and -2 . Our final | |
01:34 | answer is three times X plus four times X minus | |
01:42 | two and you're done . |
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