Factoring Polynomials | MathHelp.com - By MathHelp.com
Transcript
| 00:0-1 | based on what you've learned so far about factoring the | |
| 00:03 | first thing you're gonna probably try to do here is | |
| 00:05 | factor out the greatest common factor . The problem is | |
| 00:10 | there is no factor that is in common to these | |
| 00:12 | three terms . So you might think that this problem | |
| 00:15 | is unf act terrible . However the try no meal | |
| 00:20 | that you see is in a special form that can | |
| 00:23 | be factored in a new way . The first term | |
| 00:27 | has an X square , the second term has an | |
| 00:31 | X and the third term is a constant term . | |
| 00:36 | When a try no meals in this form , it | |
| 00:38 | can be factored as the product of two by no | |
| 00:42 | meals . In other words , we're gonna set up | |
| 00:46 | two sets of parentheses and within each set of parentheses | |
| 00:51 | will be the two terms that compose each by no | |
| 00:53 | meal . So what goes inside these parentheses ? Well | |
| 00:59 | , the first term in each by no meal will | |
| 01:02 | be a factor of the X square since X squared | |
| 01:06 | factors as X times X . We use X as | |
| 01:11 | the first term in each binomial . The second term | |
| 01:16 | in each binomial will be a factor of your constant | |
| 01:20 | term or your 10 . The problem is 10 factors | |
| 01:25 | in different ways . 10 can be thought of as | |
| 01:29 | 10 times one Or it can also be thought of | |
| 01:32 | as five times 2 . So how do we know | |
| 01:35 | whether you use a 10 and a one or a | |
| 01:37 | five and a two ? We'll take a look at | |
| 01:40 | your middle term in your original polynomial . The rule | |
| 01:44 | is the factors of the last term that you will | |
| 01:47 | use have to add to the middle term in the | |
| 01:50 | original . Try no meal . So which pair of | |
| 01:53 | factors adds to 7 ? Well five and two . | |
| 02:01 | So we're going to put a five In our first | |
| 02:05 | binomial and a two in our second and there's your | |
| 02:09 | answer which is a factored version of X squared plus | |
| 02:13 | seven X plus 10 . |
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