1 00:00:00,180 --> 00:00:04,149 We want to start by looking for our Greatest Common Factor and what do you know 2 00:00:04,149 --> 00:00:08,451 all the coefficients are even, so 2 can come out. Now that we factored out a 2, 3 00:00:08,451 --> 00:00:13,338 we want to continue factoring this inside portion if possible. We want to find 4 00:00:13,338 --> 00:00:18,722 factors of positive 14 and some to negative 15. This 14 comes from multiplying 5 00:00:18,722 --> 00:00:23,862 the coefficient of the x squared term 2 by the constant term 7. The negative 15 6 00:00:23,862 --> 00:00:28,998 is simply the coefficient of our x term. We have a positive 14 and a negative 7 00:00:28,998 --> 00:00:33,690 15. This must mean every factor in a factor pair must be negative. We want to 8 00:00:33,690 --> 00:00:38,730 use negative 1 and negative 14 since they multiply to give us positive 14 and 9 00:00:38,730 --> 00:00:43,246 they add to negative 15. We continue factoring this portion by rewriting the 10 00:00:43,246 --> 00:00:47,426 middle term with these two factors as coefficients for x. Then we factor by 11 00:00:47,426 --> 00:00:51,498 grouping. We take out an x from the first two terms and a negative 7 from the 12 00:00:51,498 --> 00:00:56,078 second two terms. When I remove a negative 7 from positive 7, I'm left with 13 00:00:56,078 --> 00:01:01,450 negative 1 here. I also know I did this step correctly, since negative 7 times 14 00:01:01,450 --> 00:01:06,657 2x is negative 14x. And negative 7 times negative 1 is positive 7. We have a 15 00:01:06,657 --> 00:01:11,563 common factor of 2x minus 1. So this is our completed factor form. Fantastic 16 00:01:11,563 --> 00:01:13,513 work, if you got that correct.