00:01
We're being asked the factor the given trinomial.
00:03
Well, first you should look for a greatest common factor, but there isn't one.
00:06
And this is a trinomial whose first term is not equal to one.
00:09
So we're going to try and rewrite this as a grouping problem.
00:12
So first, i'm going to multiply the first and last coefficients, so six times negative six, which is equal to negative 36.
00:19
So now what we're going to look for are any factors of negative 36 that will add and subtract to the middle coefficient of 35.
00:26
Well, in this case, i'm thinking of 36 and negative 1, because 36 times negative 1 is negative 36, and 36 minus 1 is 35.
00:36
Perfect.
00:37
So now we're going to rewrite our problem, but in place of 35x squared, we're going to substitute in 36x squared minus x squared.
00:46
So we're going to have 6x to the 4 plus 36x squared minus x squared minus 6.
00:55
And now that we have four terms, we're going to factor by grouping...