 Let us look at a second case of the bottoms-up technique. In this instance, there is a greatest common factor to pull out. Here we can pull out 3 and we have 4x2 plus 7x minus 2. And now we apply the bottoms-up technique that we saw previously to this trinomial. We look at the quadratic coefficient which is 4 and multiply it by the constant. That's negative 8. We're going to think about it as 8. And the factor pairs are plus or minus 1 times plus or minus 8 and plus or minus 2 times plus or minus 4. Now the only way to get 7 out of one of those factor pairs is with 1 and 8. 8 minus 1 is 7. So we will begin our factorization with two binomials. One with x plus 8 and the other one x minus 1. We will now divide the constant terms in those binomials by the quadratic coefficient which is 4. This becomes x plus 2. Since 2 is an integer, we stop there. We don't do anything else to that binomial. And since here we have 1 fourth, we multiply by 4 so that we get an integer. Now we claim that this is, let us check, 4x squared minus x plus 8x minus 2 which is exactly what we were looking for. Hence the factorization of this trinomial is 3 times x plus 2 times 4x minus 1. Thank you.