00:01
We're being asked to factor the given trinomial.
00:03
Well, when you're factoring, you always want it written in standard form, meaning we want our z squared term first, so 16 z squared, followed by our z term, negative 14z, and then our constant term, positive 3.
00:17
So now i'm going to factor by using the ac method.
00:20
So we'll begin by multiplying the first and last coefficients.
00:23
So 16 times 3 is 48.
00:26
So now we have to find two numbers that multiply the 48 that will add to our middle coefficient of negative 14.
00:33
So in this case, i'm thinking negative 8 and negative 6, because negative 8 times negative 6 is positive 48, and negative 8 plus negative 6 is negative 14.
00:43
Perfect.
00:45
So now we're going to rewrite our problem, but in the place of our middle term, we're going to substitute a negative 8z minus 60.
00:53
So that will leave us with 16z squared minus 8z, minus 6 z plus 3...