00:01
Question asks us to solve this quadratic by factoring, and we can do this by using something called product, sum, and guess.
00:10
And before we begin, we just need to know what our a, b, and c terms are in this equation.
00:19
So our product column we're going to get by multiplying our a times our c term.
00:25
So in this case, it's 6 times 5, which gives us 30.
00:29
And our second column the sum is always our b term, which in this case is 17.
00:36
And our guess column is two numbers that will multiply to our product, which in this case is 30, but also add to our sum, which is 17.
00:49
So now we just start listing off factors of 30.
00:52
So we can think of 5 and 6, but in no way will that ever add to 17, 30 and 1, 10 and 3, and none of these will add to 17.
01:05
But 15 and 2 will.
01:09
So those are the two factors that we're going to use.
01:13
And now we can rewrite this as 6x squared plus 2x times 15x plus 5 equals 0.
01:28
So i broke the 17x up with the factors that we not from products i'm guess...