00:01
We're being asked to factor the given expression.
00:02
Well, you should always look for a greatest common factor first, but in this case, there isn't one.
00:07
Now, i see there's three terms here, and the coefficient of our first term is not equal to one.
00:12
So i'm going to use the grouping method.
00:15
So what i need to do first is i need to multiply my first and last coefficients, 14 times 1, which is equal to 14.
00:22
So what i have to do is i have to think of factors of 14 that will add or subtract to our middle coefficient of negative 9.
00:29
Well, the factors of 14 i'm thinking of are 7 and 2.
00:33
If i was to make 7 negative and 2 negative, because negative 7 times negative 2 is positive 14, but negative 7 minus 2, 9.
00:42
So what i'm going to do is in place negative 9x, i'm going to substitute in negative 7x minus 2x.
00:50
So what we're going to be left with is 14x squared minus 7x minus 2x plus 1.
00:59
And now that we have four terms, now we can do the grouping method.
01:02
So i'm going to split the problem in half, and i'm going to first look at our first two terms and find the greatest common factor, which in this case would be 7x...