Using grouping method, we have:
So we are looking for 2 terms whose product is −12r2s2and whose sum is 11rs.
Those 2 terms will be 12rs and -rs.
So we can factor our trinomial as follows:
4r2 + 11rs − 3s2 |
= 4r2 + 12rs − rs − 3s2 = (4r2 + 12rs) − (rs + 3s2) = 4r(r + 3s) − s(r + 3s) = (4r − s)(r + 3s) |