00:01
Question asks us to solve this quadratic equation by factoring.
00:04
And we can do this by using something called product, sum, and guess.
00:09
And we just want to note what our a, b, and c terms are in this equation.
00:17
So our product column we're going to get by multiplying a times c.
00:21
So in this case, four times eight, which gives us 32.
00:25
And our sum column is always going to be our b term, which in case is 12.
00:31
And for our guest column, we want to figure out two numbers that multiply to 32, but we'll add to negative 12.
00:41
And off the bat, since this is positive and this is negative, we know that both terms have to be negative.
00:49
So we just start listing factors of 32.
00:52
And the first one that comes to my mind would be 16 and 2.
00:58
But 16 and 2 in no way can add to 12.
01:01
And you can think of 32 and 1, but the correct answer would be negative 8 and negative 4.
01:09
Both of those add to minus 12, but will also multiply to a positive 13...