Algebra Websites | MathHelp.com - By MathHelp.com
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00:0-1 | when you're asked to factor of polynomial that has four | |
00:02 | terms in it . Like this one , that should | |
00:05 | be your clue to factor by grouping terms together in | |
00:11 | this problem , We're going to group the first two | |
00:14 | terms together a squared -5 a . And the last | |
00:19 | two terms together negative for a B plus 20 B | |
00:25 | . For the first two terms . We can factor | |
00:27 | out in a . That leaves us with a -5 | |
00:35 | for the last two terms . You need to understand | |
00:38 | an important rule about factoring by grouping . If the | |
00:42 | first term in your group is negative , you must | |
00:47 | factor out a negative along with the greatest common factor | |
00:51 | for this group . So we don't just factor out | |
00:54 | for B . We factor out a negative for B | |
01:01 | . What's left inside the parentheses will be each of | |
01:04 | these two terms divided by the -4 b . That | |
01:07 | factored out so that's a minus five . Notice the | |
01:15 | change of signs . Now we have an a -5 | |
01:20 | in each of our two terms , which factors out | |
01:24 | oh And leaves us with a -4 b in our | |
01:31 | second set of parentheses . |
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