ACT Math Test Prep | MathHelp.com - By MathHelp.com
Transcript
| 00:0-1 | Remember from Algebra one that a try no meal that | |
| 00:04 | has an X squared term , an X term and | |
| 00:08 | a constant term such as the one shown here Can | |
| 00:12 | be factored into the product of two by no meals | |
| 00:17 | . In other words we're going to set up two | |
| 00:20 | sets of parentheses . Yeah . And inside each set | |
| 00:26 | of parentheses will be the two terms that compose each | |
| 00:30 | by no meal . So what goes inside the parentheses | |
| 00:35 | ? Well , the first term in each binomial will | |
| 00:38 | be a factor of the X squared term and since | |
| 00:42 | X squared factors as X times X , we use | |
| 00:47 | an X as the first term . In each binomial | |
| 00:52 | , The second term in each binomial will be a | |
| 00:55 | factor of our constant term , which in this case | |
| 00:59 | is 10 . The trick is 10 factors in different | |
| 01:03 | ways . 10 can be thought of As 10 times | |
| 01:09 | one , But it can also be thought of as | |
| 01:13 | five times 2 . So how do we know whether | |
| 01:17 | we use a 10 and a one or a five | |
| 01:21 | and a two ? Well take a look back at | |
| 01:24 | the middle term in our original try no meal . | |
| 01:29 | The rule is the factors of the constant term that | |
| 01:32 | we use must add together to equal the coefficient of | |
| 01:38 | our middle term . In other words , the factors | |
| 01:41 | of 10 that we use must add up to seven | |
| 01:47 | and the factors of 10 that add to seven Are | |
| 01:51 | five and 2 . So we put a positive five | |
| 01:56 | in our first by no meal and a positive to | |
| 02:00 | in our second by no meal and we have our | |
| 02:03 | answer X plus five times X plus two , which | |
| 02:09 | is a factored version of X squared plus seven , | |
| 02:13 | X plus 10 . |
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