Factoring Polynomial Equations | MathHelp.com - By MathHelp.com
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| 00:0-1 | in this problem , it's tempting to try to factor | |
| 00:03 | the try no meal as the product of two Bino | |
| 00:06 | meals right away but notice that the three terms on | |
| 00:11 | the left side of the equation have a greatest common | |
| 00:15 | factor of three . So our first step is to | |
| 00:19 | factor out of three from the left side to get | |
| 00:23 | three times friends sees X squared minus five , X | |
| 00:28 | plus four equals zero . Now we have a try | |
| 00:34 | no meal inside the prince sees that's much easier to | |
| 00:38 | factor than our original trim No meal , X squared | |
| 00:42 | minus five , X plus four factors as X -4 | |
| 00:49 | times x -1 . So bring down your three And | |
| 00:55 | set it equal to zero . Since there are three | |
| 00:59 | parts to the left side of the equation , we | |
| 01:03 | sent each of those parts equal to zero . So | |
| 01:07 | either three equals zero or x minus four equals zero | |
| 01:15 | , or x minus one equals zero . Notice that | |
| 01:22 | three equals 0 is a false statement . So we | |
| 01:27 | can cancel this equation out of the problem for our | |
| 01:32 | other two equations , we just solve for X . | |
| 01:36 | Yeah . To find that X equals four or X | |
| 01:45 | equals one , so our solution set is 41 |
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